A pilot spots the airport at an angle of depression of 16°. The plane is flying at an altitude of 9,000 ft. What is the ground distance (distance along the ground) from the plane to the airport to the nearest foot

Answers

Answer 1

Answer:

[tex]31,387\:\text{ft}[/tex]

Step-by-step explanation:

We can form a right triangle using the plane, the airport, and ground and use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is ground distance between the plane and the airport:

[tex]\tan 16^{\circ}=\frac{9,000}{x},\\x=\frac{9,000}{\tan 16^{\circ}},\\x\approx \boxed{31,387\:\text{ft}}[/tex].


Related Questions

Is it A, B, C, or D?

Answers

Answer:

It's option D. 8(8x + 9y).

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

A online video-streaming services charges a one-time membership fee of $20 and a monthly fee of $7.50. How many months of membership will $115 pay for

Answers

Answer:

Number of months= 12 months

Step-by-step explanation:

Giving the following information:

One time fee= $20

Monthly fee= $7.5

Total cost= $115

To calculate the number of months, we need to use the following formula:

Number of months= (total cost - one time fee) / monthly fee

Number of months= (115 - 20) / 7.5

Number of months= 12.67

Number of months= 12 months

A group of friends had dinner at a restaurant. The total bill for the dinner was $41 and they left a 15% tip. What was the total amount that they paid?

Answers

Answer:

$47.15

Step-by-step explanation:

41x15%=6.15

6.15+41=47.15

Answer: $47.15

Step-by-step explanation:

[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]

or you could do it in pieces

[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]

A 2025633
1)(a)(a)
3(3)(5)(5)(a(a)
Which expressions listed on the left are equivalen
36a8? Check all that apply. (Assume that a 7 0.
22502
B
466
25
D A
13
C.
25
B.
DES
В С
E
3 D
Е Е

Answers

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

What is Square Root?

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

Learn more about Expressions here :

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Your question is confusing. The image of the question is attached below.

A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?

Answers

Answer:

It should be 1000 miles

Step-by-step explanation:

If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.

A researcher has conducted a survey using a simple random sample of 50 licensed drivers to create a confidence interval to estimate the proportion of licensed drivers favoring the construction of a new stoplight. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 200 people instead of 50 licensed drivers. Which of the following statements best describes how the confidence interval is affected by this change?

The width of the new interval is about the same width as the original interval.
The width of the new interval is about twice the width of the original interval.
The width of the new interval is about one half the width of the original interval.
The width of the new interval is about one fourth the width of the original interval.
The width of the new interval is about four times the width of the original interval.

Answers

Answer: the answer is C.

Step-by-step explanation:

Answer:

Might be C?

Step-by-step explanation:

I got D. wrong (The width of the new interval is about one fourth the width of the original interval.)

Please help, and I'll give brainliest! The following dot plot represents a random sample of elementary students and the number of children that live in their home.

Which of the following numbers is an outlier?
1
6
3
4
2

Answers

i have no idea what an outlier is maybe 1?

Answer:

2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!

Step-by-step explanation:

standard deviation of the data. 160,220,220,249,190​

Answers

Answer:

Population: 30.32. Sample: 33.99

can someone help me plsss​

Answers

Answer:

C

Step-by-step explanation:

Of all the students enrolled in the school of arts who responded, approximately what proportion responded that they play video games?

Answers

Answer:

is there anyother information

Step-by-step explanation:

is there anyother information

This is the full question if you can please solve this it’s really important.
A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.

Answers

Answer:

[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]

Step-by-step explanation:

Area of Rectangle:

Length = 11.8 in.

Width = 3.6 in.

Area = Length * Width

Area = 11.8 * 3.6

Area = 42.48 in.²

Area of 3 circles:

Diameter = 3.6 in.

Radius = D/2 = 3.6/2 = 1.8 in.

[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]

Area of 3 circles = 3(10.18) = 30.5 in.²

Area of the figure when the 3 circles are cut:

= Area of the rectangle - Area of 3 circles

= 42.28 - 30.5

= 11.74 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

What is the median test score? A) 2.5 B) 2 Eliminate C) 3 D) 5

Answers

Answer:

2.5

Step-by-step explanation:

a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and a decimal.

Answers

Answer:

1/4 and 0.25 and 25% chance for blue, 2/5 and 0.4 and 40% chance for red, and 7/20 and 0.35 and 35% for green.

Step-by-step explanation:

add all the marbles (20) and that’s the total. then however many marbles in the color that’s the top number in the fraction. divide the top number by the bottom number to get the decimal and move the decimal 2 spaces to the right to get the percent.

PLEASE HELP!!! :(
Consider the following figure
What is BD? ​

Answers

Answer:

BD = 16

Step-by-step explanation:

32/BD = BD/8

BD² = 256

BD = 16

What's the slope for (9,6)and (5,4)

Answers

Answer:

1/2

Step-by-step explanation:

Use the slope formula.

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

4-6/5-9 = -2/-4 = 1/2

1. Calculate the scale factor.
a. ⅓ b. ½ c. 2 d. 3

2. Find the value of x.
a. 3•0m b. 3•5 c. 4•5 d. 6•0​

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

X/15 = -10 can someone help

Answers

Answer:

x = -150

Step-by-step explanation:

x/15 = -10

Multiply both sides by 15.

Pls help me somebody plzzz

Answers

Answer:

the answer is

X + 40 + 155 =180

Have a cute puppy!! It’s my puppy

what is a equation????

Answers

answer: an equation is a set of numbers put together within a problem that you are meant to solve in order to receive the final answer.

a statement that the values of two mathematical expressions are equal (indicated by the sign =).

I'm failing lol. HELP me with math??

Answers

Step-by-step explanation:

What do you need help with?

b) How many edges and vertices does a prism
with a 100-sided end face have?
edges
vertices

Answers

44 and help meeee tooo

In a particular week, Mary
worked 8 hours per day for 3
days and 4 hours per day for 2
days. She was paid $10 per hour.
How much did she earn for that
week?

A. $ 120.
B. $ 320.
C. $ 400.
D. $ 600.​

Answers

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

THE ANSWER WAS IS: B. $320

Eloise had 13.5 feet of ribbon. She cut the ribbon into pieces that were each 0.75 feet long.

How many pieces of ribbon was she able to cut?

Answers

Answer:

she had 18 pieces of ribbon

Step-by-step explanation:

i multiplied random numbers and when i got to 18 i multiplied 18 by 0.75 and got 13.5 hope this is helpful

Answer:

18

Step-by-step explanation:

its math

Please help


Please, please

Answers

Answer:

dang you lazy this so easy

1. What relationship do you notice between the area of a 3x 3 square, 4 x 4 square, and 5x5 square?
2. What relationship do you notice between the area of a 5x 5 square, 12 x 12 square and 13x13 square?
Whoever answers these thanks!

Answers

Answer:

1) increasing the side by a quantity of 1 causes the new square to increase by 2 times the previous side quantity + 1.

Example 1: 3x3=9, if you increase the sides to 4x4 increases the square by (2x3+1) to be 16.

Example 2: 12x12=144, if you increase the sides to 13x13 increases the square by (2x12=1) to be 169.

2) The same relationship

Step-by-step explanation:

1)

3 x 3  = 9

4 x 4 = 16

5 x 5 = 25

2)

5 x 5 = 25

12 x 12 = 144

13 x 13 = 169

-please help this is the last question i have for tonight and im struggling big time D:

Answers

Answer:

108 or 72

Step-by-step explanation:

:) cdhhyvfhjyvfyhgfvhghghhhjbh

do you have S s-n-a-p-c-h-a-t

ANSWER FOR BRAINLIEST AND 70 POINTS!

Answers

Answer:

um

Step-by-step explanation:

For each point go right 4 and down 2.

so it would be

k (2,1)

L (0,-4)

g (2,-4)

can anyone help!
WITH STEPS!

Answers

Answer:

When we have something like:

[tex]\sqrt[n]{x}[/tex]

It is called the n-th root of x.

Where x is called the radicand, and n is called the index.

Then the term:

[tex]\sqrt[4]{16}[/tex]

is called the fourth root of 16.

And in this case, we can see that the index is 4, and the radicand is 16.

At the end, we have the question: what is the 4th root of 16?

this is:

[tex]\sqrt[4]{16} = \sqrt[4]{4*4} = \sqrt[4]{2*2*2*2} = 2[/tex]

The 4th root of 16 is equal to 2.

What do the h and k in the equations of a circle represent?

Answers

Answer:

H and K in the equations of a circle represents the coordinates of it's center point.

Step-by-step explanation:

The variables h and k represent the coordinates of the center of the circle

In the equations of a circle in standard form, [tex](x - h)^2 + (y - k)^2 = r^2[/tex].

The value of h corresponds to the x-coordinate of the center, while the value of k represents the y-coordinate of the center. The center of the circle is denoted as (h, k).

By specifying the values of h and k, we can determine the exact location of the center of the circle on the coordinate plane. These coordinates help identify the position of the circle in relation to the x and y axes.

For example, if the equation of a circle is [tex](x - 2)^2 + (y + 3)^2 = 16[/tex], the center of the circle is located at the point (2, -3), with h = 2 and k = -3.

Understanding the significance of h and k allows us to identify the center of a circle and provides valuable information for analyzing and graphing circles in the coordinate plane.

Therefore, the variables h and k represent the coordinates of the center of the circle

Learn more about circles and their equations click here

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