A pilot is traveling at a height of 30,000 feet above level ground. She looks down at
an angle of depression of 6° and spots the runway. As measured along the ground, how
many miles away is she from the runway? Round to the nearest tenth of a mile.
Answers
Answer:
540.6 mi
Step-by-step explanation:
The angle of depression = angle of elevation = 6°
Let x = the distance to the runway.
tan 6 = 30000/x
xtan 6 = 30000
x = 30000/tan 6 =285430.9 ft
285430.9336.../5280 = 540.6 mi
A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression then she is 540.6 miles away from the runway.
What is meant by angle of depression?A depression angle is formed when the viewer is higher than the object they are looking at. When a viewer looks at an object at a closer distance than themselves, an angle is formed under the horizontal line drawn at the viewer's eye level and the line connecting the object to the viewer's eye.
Elevation angle is the angle formed when a person stands on the ground and looks at an object above the ground at a height above the person's height. This is the basic difference between the two angles. Both angles are calculated using trigonometry concepts.
The angle of depression is defined as the angle formed by the horizon and the line connecting the object to the viewer's eye. This angle depends on two factors: altitude and distance.
Given: A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression.
The angle of depression = angle of elevation = 6°
Let x be the distance to the runway.
tan 6 = 30000/x
simplifying the above equation, we get
x tan 6 = 30000
x = 30000/tan 6 = 285430.9 ft
285430.9336/5280 = 540.6 mi
She is 540.6 mi away from the runway.
To learn more about angle of depression, refer to:
brainly.com/question/27865363
#SPJ2
Related Questions
Determine if 32,48,80and 150 are in proportion
Answers
Answer:
No , they are not
Step-by-step explanation:
Checking the ratios:
32/48 = 0.67
48/80 = 0.6
80/150 = 0.53
Since the values are not equal, they are not in proportion.
Answer:
32, 48, 80, and 150 are not in proportion.
Step-by-step explanation:
To determine if 32, 48, 80, and 150 are in proportion, we need to check if the ratio of any two numbers is equal to the ratio of any other two numbers in the set.
Let's check:
Ratio of 32 to 48: 32/48 = 2/3
Ratio of 48 to 80: 48/80 = 3/5
Ratio of 80 to 150: 80/150 = 8/15
Since the ratios are not equal, 32, 48, 80, and 150 are not in proportion.
refer to exhibit 9-6. at a .05 level of significance, it can be concluded that the proportion of the population in favor of candidate a is . a. not significantly greater than 80% b. significantly greater than 80% c. not significantly greater than 75% d. significantly greater than 75%
Answers
Based on this exhibit, a high school student is required to determine whether the proportion of the population in favor of candidate A is significantly option (b) or (c) greater than 80% or 75% at a 0.05 level of significance.
In statistical analysis, determining the proportion of a population in favor of a candidate or an idea is crucial in predicting election outcomes or measuring public opinion. Exhibit 9-6 presents statistical data on the proportion of the population in favor of candidate A
To answer this question, we need to conduct a hypothesis test and calculate the p-value. The null hypothesis (H0) states that the proportion of the population in favor of candidate A is equal to or less than the given proportion, while the alternative hypothesis (Ha) states that the proportion is greater than the given proportion. Therefore, the hypotheses can be stated as follows:
H0 => p ≤ 0.80 or p ≤ 0.75
H1 => p > 0.80 or p > 0.75
We then calculate the test statistic, which is the z-score. This can be done using the formula:
z = (p - p₀) / √(p₀(1-p₀)/n)
where p is the sample proportion, p₀ is the given proportion, and n is the sample size.
Next, we calculate the p-value, which is the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true. Since this is a one-tailed test, we use the standard normal distribution table and look up the area to the right of the calculated z-score. The p-value is the probability of getting a z-score as extreme or more extreme than the calculated one. If the p-value is less than the level of significance, we reject the null hypothesis and conclude that the alternative hypothesis is true.
To know more about proportion here.
https://brainly.com/question/30657439
#SPJ4
How exactly do you do this I understand this a little more but need a little push :(
Answers
Answer:
(2, 12)
Step-by-step explanation:
You do it by adding
2 and 0.
4 and 8.
Can you help me please
Which statement describes the graph?
Answers
Answer:
b
Step-by-step explanation:
Do the side lengths 4 8 and 10 form a triangle?
Answers
Yes, they do form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle.
Yes, the side lengths 4 8 and 10 can form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle. A triangle is defined as a polygon with three sides and three angles, and is one of the basic shapes in geometry. It is also one of the most studied shapes in mathematics due to its wide range of applications. The three angles of a triangle must add up to 180 degrees, and the three sides must satisfy the triangle inequality, meaning that the sum of any two sides must be greater than the third side. Additionally, the interior angles of a triangle are always equal to the sum of two exterior angles. Knowing this, it can be seen that the side lengths 4 8 and 10 can form a triangle, as the sum of any two sides is greater than the third side.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
A company blends two gasolines from High-Quality Fuels and Junk Petroleum (in-
puts) into two commercial products, Super and Regular gasoline (outputs). For
the inputs, the octane ratings, the lead content in grams per litre, and the amounts
available in cubic metres (m3) and their prices are known. These are:
Input Octane Lead Amount Buying Price
Gasoline Rating Content (g/L) Available (m3) ($ per m3)
High-Quality 105 0.10 25,000 350
Junk 82 0.30 30,000 260
For the Super and Regular gasolines the requirements are:
Output Minimum Maximum Minimum Selling
Gasoline Octane Lead Amount Price
Rating Content (g/L) Required (m3) ($ per m3)
Super 95 0.15 10,000 400
Regular 86 0.20 17,000 310
We define the variables as follows: H and J are respectively the amount of gasoline
in m3 purchased from High-Quality Fuels/Junk Petroleum. S and R are respectively
the amount of Super/Regular gasoline in m3 blended and sold. HS, HR, JS, and JR
are respectively the amounts in m3 of High-Quality/Junk gasoline used to make
Super/Regular gasoline.
For this and each of the other four questions which follow, make sure that you
answer parts (a), (b), and (c) as given at the bottom of the previous page.
Answers
To meet the requirements, the company should purchase 6,500 m³ of High-Quality gasoline, 13,500 m³ of Junk gasoline, produce 7,000 m³ of Super gasoline, and 10,000 m³ of Regular gasoline.
To determine the amounts of High-Quality and Junk gasoline to purchase and the amounts of Super and Regular gasoline to produce and sell, we need to consider the octane rating, lead content, and minimum and maximum amounts required for each type of gasoline.
For Super gasoline, the minimum octane rating required is 95, and the minimum lead content required is 0.15 g/L. To meet these requirements, the company needs to blend a certain amount of High-Quality and Junk gasoline. Since the company has 25,000 m³ of High-Quality gasoline available with an octane rating of 105 and 0.10 g/L of lead content, it should purchase 6,500 m³ of High-Quality gasoline to satisfy the minimum octane rating and lead content requirements.
Similarly, since the company has 30,000 m³ of Junk gasoline available with an octane rating of 82 and 0.30 g/L of lead content, it should purchase 13,500 m³ of Junk gasoline to meet the minimum octane rating and lead content requirements.
Now, considering the amounts of Super and Regular gasoline required, the company should produce 7,000 m³ of Super gasoline and 10,000 m³ of Regular gasoline. The Super gasoline should be sold at a price of $400 per m³, and the Regular gasoline should be sold at a price of $310 per m³.
In summary, the company should purchase 6,500 m³ of High-Quality gasoline, 13,500 m³ of Junk gasoline, produce 7,000 m³ of Super gasoline, and sell it at a price of $400 per m³. They should also produce 10,000 m³ of Regular gasoline and sell it at a price of $310 per m³.
Learn more about gasoline
brainly.com/question/13402652
#SPJ11
can somebody check this and tell me if its wrong or right? ASAP
Answers
Answer:
Right
Step-by-step explanation:
what is the probability that a photon with the polatization state you just calculated will be transmitted through a subsequent filter, that is aligned with the h direction.
Answers
The maximum probability that a photon with the polarization state will be transmitted through the A filter is 1/2
To solve this problem, we need to use Malus' law, which states that the intensity of light transmitted through a polarizer is proportional to the square of the cosine of the angle between the polarization direction of the incoming light and the axis of the polarizer.
To find the overall probability that a photon will be transmitted through all three filters, we need to multiply the probabilities of each filter
P = 1/2 × cos²(θ) × 1
We are not given the angle θ, so we cannot calculate the exact value of P. However, we can calculate the maximum value of P, which occurs when the rotated filter is aligned with the A filter (i.e., θ = 0). In this case, P = 1/2.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
The given question is incomplete, the complete question is:
H filter Rotated filter Rotated filter followed by A filter An unpolarized photon beam is incident on a linear polarizing filter. The incoming photon flux is is 2.34 x 101 photons/m' /sec. What is the probability that a photo with the polarization state be transmitted through a subsequent filter, that is aligned with the direction?
The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = r equals StartFraction C Over 2 pi EndFraction.
Answers
Answer:
r = c/2pi
Step-by-step
c= pi*d
d=2r
c = 2*r*pi
Answer:
r=8
Step-by-step explanation:
The answer is r8 for anyone looking. (e2020)
two balls are drawn simultaneously from a bag containing 2 yellow and 4 green balls. what is the probability of drawing 2 green balls
Answers
The probability of drawing 2 green balls simultaneously from a bag containing 2 yellow and 4 green balls can be determined using the following method:
First, calculate the total number of balls in the bag. There are 2 yellow balls and 4 green balls, so the total is 6 balls.
Now, let's find the probability of drawing 2 green balls. To do this, consider the number of green balls (4) and the total number of balls (6). When drawing the first green ball, there are 4 green balls out of 6 total balls. Therefore, the probability of drawing one green ball is 4/6.
Since the balls are drawn simultaneously, there's no change in the number of balls for the second draw. So, the probability of drawing a second green ball remains 4/6.
Now, we can calculate the probability of both events occurring simultaneously by multiplying the probabilities:
(4/6) * (4/6) = 16/36
To simplify the fraction, divide both numerator and denominator by their greatest common divisor (4):
16/36 = 4/9
So, the probability of drawing 2 green balls simultaneously is 4/9.
To know more about Probability visit :
https://brainly.com/question/32004014
#SPJ11
About 12 % of employed adults in the United States held multiple jobs. A random sample of 66 employed adults is chosen. Use Excel as needed. Would it be unusual if less than 7% of the individuals in the sample of 333 held multiple jobs? Round the answer to at least four decimal places. It be unusual if less than 7% of the individuals in the sample of 333 held multiple jobs, since the probability is
Answers
It would be unusual if less than 7% of the individuals in the sample of 333 held multiple jobs. To determine if it would be unusual, we can use the binomial distribution and compare the probability of observing less than 7% with a significance level.
Given that about 12% of employed adults in the United States hold multiple jobs, we can estimate the probability of an individual in the sample holding multiple jobs as 0.12. Therefore, the probability of an individual not holding multiple jobs is 1 - 0.12 = 0.88.
Using the binomial distribution, we can calculate the probability of observing less than 7% of individuals holding multiple jobs in a sample of 333.
Let X be the number of individuals holding multiple jobs. We are interested in P(X < 0.07 * 333). To calculate this probability, we sum the probabilities of X = 0, 1, 2, ..., 22.
If the probability is below a certain significance level (commonly 0.05), we consider it unusual. In this case, we calculate P(X < 0.07 * 333) and compare it to 0.05.
If the probability is less than 0.05, it would be considered unusual.
Learn more about Probability here : brainly.com/question/31828911
#SPJ11
The measure of each exterior angle of a regular polygon of 12 sides is ______ .
A.45o
B.75o
C.60o
D.30o
Answers
The measure of each exterior angle of a regular polygon of 12 sides is equal to 30° option D.
A polygon's exterior angles are generated by extending one of its sides and extending the other side. The sum of a polygon's outside angles equals 360 degrees. You've probably heard of the phrase polygon. A polygon is an enclosed flat shape made up of three or more line segments. The line segments are referred to as sides, and the location where two sides intersect is referred to as the polygon's vertex.
Adjacent sides are a pair of sides that meet at the same vertex. The inner angle is the angle formed by one of the vertices. For all polygons, the interior and external angles at each vertex vary.
We know that the sum of a polygon's outer angles is 360.
As a result, the exterior angle of a regular polygon with 12 sides Equals 360/ 12 = 30.
So, The measure of each exterior angle of a regular polygon of 12 sides is equal to 30°.
Learn more about Exterior angle:
https://brainly.com/question/30722082
#SPJ4
To promote a new brand of shoes, a shoe store will run
a promotion using a jar containing 3 red balls marked
"10% off," 2 white balls marked "30% off," and
1 green ball marked "60% off." Each customer will
randomly select 1 ball from the jar to determine the
discount that the customer will receive on any single
pair of the new brand of shoes. Given that the new
brand of shoes regularly costs $60 per pair, what is the
average discount amount, in dollars, that the store can
expect to give each customer due to this promotion?
Answers
Based on the percentage discount that one gets from the promotion using a jar, the average discount amount the shoe store can expect to give each customer is $15.
How much discount will the shoe store give on average?The average discount in percentages will be:
= (3/6 x 10%) + (2/6 x 30%) + (1/6 x 60%)
= 5% + 10% + 10%
= 25%
The average discount in cash amounts is:
= 25% x 60
= $15
In conclusion, the average discount amount that the store can expect to give each customer in dollars is $15.
Find out more on weighted averages at https://brainly.com/question/18554478
#SPJ1
Hamid has gained weight.
he now weighs 88kg, this is 10% more than his normal weight.
what is hamids normal weight?
Answers
Answer:
174.6
Step-by-step explanation:
88 kg = 194.007 - 10%
194 * 10% = 194 - 19.4 = 174.6
Simplify 11 square root 1215
Answers
Answer:383.4
Step-by-step explanation:
Answer:
383.425351275
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
1 1/2 or 1.5
As a simplified fraction
If this helped pls give brainlest.
How many teachers are there in your school? How many male teachers and female
teachers are there?
I) Write the ratio of male teachers to the female teachers.
ii) Write the ratio of male teachers to the total number of teachers.
iii) Write the ratio of total number of teachers to the female teachers.v
Answers
why are you sad please don't worry I will tell you what to do with me now you know I am what
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$) [asy] unitsize(1.5 cm); draw((0,0)--dir(60)--(1,0)); draw((0,0)--(1,0)); draw((0,0)--dir(-60)--(1,0)); label("$A$", (0,0), W); label("$B$", (1,0), E); [/asy]
Answers
Answer:
There are $\boxed{3}$ paths from $A$ to $B.$
cartons of humidifiers are stocked in 25,500 sq. ft. of warehouse space at home depot. if each carton requires 4 14 sq. ft. of space, how many cartons can be stored in this space?
Answers
6000 cartons of 4 1/4 square ft. can be stored in this warehouse, area of 25500 square ft.
We know that a mixed fraction can be transformed into improper fraction in this way,
a b/c = (a * c + b)/c
Total space in warehouse is 25500 square ft.
One carton has a space of 4 1/4 square ft. that is = 4 1/4 = (4 * 4 + 1)/4 = 17/4 = 4.25 square ft.
So the number of cartons can be stored in the warehouse space is given by
= (Area of the warehouse space)/(Area of One carton)
= 25500/4.25
= 6000
Hence 6000 cartons can be stored in this space.
To know more about fraction here
https://brainly.com/question/30404460
#SPJ4
Solve for x: 3(x + 1) = 2(x − 1)
Answers
Answer:
x= -5
Step-by-step explanation:
3x+3=2x-2
3x-2x=-3-2
x=-5
Answer:
x = -5
Step-by-step explanation:
First Expand the equation
3x+3 = 2x-2
Subtract 2x from both sides
x+3=-2
subtract 3 from both sides
x = -5
Hope this helps :)
mary says 1/8 is greater than 1/4 because 8 is greater than 4. is mary's reasoning correct
Answers
Answer:
Mary's reasoning is incorrect.
Step-by-step explanation:
1/8 < 1/4
the average salary of a chipotle employee is $27,000.00 with a standard deviation of $3,500.00. these chipotle salaries are normally distributed. what is the 80th percentile salary for a chipotle employee?
Answers
The 80th percentile salary for a chipotle employee is $29,940.00.
To find the 80th percentile salary for a Chipotle employee, we can use the concept of standard deviation and z-scores.
First, we need to calculate the z-score corresponding to the 80th percentile. The z-score represents the number of standard deviations a value is away from the mean in a normal distribution.
The z-score can be calculated using the formula:
z = (x - μ) / σ
where:
z is the z-score,
x is the value we want to find (80th percentile in this case),
μ is the mean of the distribution (average salary),
σ is the standard deviation of the distribution.
Substituting the values we have:
μ = $27,000.00
σ = $3,500.00
To find the z-score for the 80th percentile, we can refer to the z-table or use a calculator. The z-score corresponding to the 80th percentile is approximately 0.84.
Now, we can solve for x (the salary at the 80th percentile) using the formula:
x = μ + (z * σ)
Substituting the values:
x = $27,000.00 + (0.84 * $3,500.00)
x ≈ $27,000.00 + $2,940.00
x ≈ $29,940.00
Therefore, the 80th percentile salary for a Chipotle employee is approximately $29,940.00.
Learn more about percentile at https://brainly.com/question/30923507
#SPJ11
Sin36°30’ simplify your answer. Type an integer or a decimal. Round to eight decimal places as needed
Answers
60’=1°
30’=x°
X=30’/60’
X=0.5
30’=x°
30’=0.5°
Sin36°30’=Sin(36+0.5)°
=Sin36.5°
Sin36.5=0.59482278675
To eight decimal places
=0.59482279
: Sin 36°30’=0.59482279
math need help now asap please
Answers
Answer:
Option 1.
Step-by-step explanation:
1 hour = 60 minutes
\(60+55=115\)
Brooke finished in 115 minutes.
Lamont finished in 125 minutes.
Therefore, Brooke was faster.
Answer:
Brooke finished in 115 minutes
Step-by-step explanation:
125 minutes is 2hours and 5 minutes is what time Lamont finished
Brooke finished in 1hour and 55 minutes is 115 minutes
If the time is low that means that u are the fastest
cold cup o' cream has 12 flavors of ice cream. you can select a small cup with 1 scoop of any flavor of ice cream, or you can select a large cup with 2 scoops of any two different flavors of ice cream. how many possible selections are there?
Answers
There are a total of 12 choices for a small cup and 12 choices for the flavor, resulting in 12 possible selections. For the large cup, there are 12 choices for the first scoop and 11 choices for the second scoop (excluding the flavor already chosen), resulting in 132 possible selections.
The number of possible selections, we consider the choices for each cup size separately.
For a small cup, there are 12 flavors to choose from, so there are 12 possible selections.
For the large cup, we need to choose two different flavors. We have 12 choices for the first scoop, and once we have chosen a flavor, there are 11 remaining flavors for the second scoop (since it must be different from the first). This gives us a total of 12 * 11 = 132 possible selections.
Therefore, combining the possibilities from the small cup (12) and the large cup (132), there are a total of 12 + 132 = 144 possible selections at Cold Cup o' Cream.
Learn more about possibilities : brainly.com/question/1601688
#SPJ11
A scuba diver descends in the water at a rate of 2012 feet per minute for 2.8 minutes. He immediately changes course when he sees a large fish and ascends at a rate of 25 feet per minute for 2 minutes.
What is the scuba diver's position relative to sea level after the 4.8 minutes?
Enter your answer as a decimal in the box.
ft
Answers
The Scuba diver's position related to sea level after 4.8 minutes will be equal to 7.4 feet below sea level.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
It is given that a scuba driver descends in water for 2.8 minutes at a rate of \(20\frac{1}{2}\) feet per minute.
Let's assume the descending position as negative.
The position at which the scuba driver will be after 2.8 minutes is :
= - \(20\frac{1}{2}\) feet per minute × 2.8 minutes
= - 57.4 feet
Now , he sees a large fish and changes his direction and starts diving ascending at a rate of 25 feet per minute for 2 minutes.
Let's assume the ascending position as positive.
So , The position at which the scuba driver will be after 2 minutes after seeing large fish is :
= 25 × 2
= 50 feet
So , the scuba diver's position relative to sea level after the 4.8 minutes will be :
= -57.4 + 50
= -7.4 feet
This meant Scuba driver is 7.4 feet below sea level.
Therefore , the Scuba diver's position related to sea level after 4.8 minutes will be equal to 7.4 feet below sea level.
Learn more about algebra here :
brainly.com/question/12377332
#SPJ2
X+16=25 solve the equation
Answers
Answer:
x=9
Step-by-step explanation:
25-16=9
you subtract 16 from both sides
x=9
EXPLANATION:
x=25-16
x=9
9+16=25
What is the largest value of n if 4n is a factor of
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 ?
Answers
If 4n is a factor of 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9, then the largest value of n is 90,720.
What are Factors?Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.
For example, 12 = 2 × 6
So we can say that 2 and 6 are factors of 12.
The product of the given numbers from 1 to 9 is given.
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9
Given a multiple of 4 is a factor of this product, where that is the largest factor.
So, we have to find the greatest factor of this product which is also a multiple of 4.
Any number multiplied by 4 is a multiple of 4.
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = 4 × (1 x 2 x 3 x 5 x 6 x 7 x 8 x 9)
So the greatest n such that 4n is a factor of 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 is 1 x 2 x 3 x 5 x 6 x 7 x 8 x 9 = 90,720
Hence the greatest n is 90,720.
Learn more about Factors here :
https://brainly.com/question/14549998
#SPJ1
The population of Atlanta Georgia in the year 2000 was 417,000 people. If the population increases at a rate of 1.2% each year, find the approximate population of Atlanta in
2020.
Answers
Step-by-step explanation:
geometric sequence :
a0 = 417,000
a1 = a0 × 1.012 (that is adding 1.2% for 2001)
a2 = a1 × 1.012 = a0 × 1.012²
an = a0 × 1.012^n
a20 (for the year 2020 after starting in 2000) =
= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...
if we need to round that to a full number, we get
≈ 529,534
our round it to full thousands
≈ 530,000
i don't know what result format you need. please pick the required one.
Based on the graphs of the two functions, which statement is true?
Answers
Answer:f(4)=g(4)
Step-by-step explanation:We see that when x= 4, we see that f(4) intersects g(4)