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 1

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

Answer 2

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.

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Related Questions

What is the equation of the line that passes through the point (-3, 5) and has a
slope of -2?

Answers

Answer:

y = -2x - 1

Step-by-step explanation:

y=mx+b

5= -2(-3) + b

5= 6+b

5 - 6 = b

-1 = b

"Wake up to reality. Nothing ever goes as planned in this world. The longer you live,the more you realize that only pain, suffering and futility in this reality"- madara uchiha
what does this quote mean to you?

Answers

Answer:

The world isn't as cute as it is in cartoons.

Step-by-step explanation:

I feel like it means that we need to start realizing that the world isn't as sugarcoated as our parents tell us.

The older you get you'll realize that.

Answer:

My pain and suffering...

Step-by-step explanation:

Please help asap will mark brainleist

Answers

Answer:

B - ( 1, 3 )  D - ( 1, -2 )

Step-by-step explanation:

PLEASE ANSWER PLEASEE!!!!!!!

Answers

Answer:

they would both be 61°

Step-by-step explanation:

when the angles make out a straight line it equals to 180 and 180 subtracted to 119 comes out to 61 and both b and c are vertical angles which would make them congruent

Answer:

B= 61 C=61

Step-by-step explanation:

You can see how there is a straight line (180 degrees) so if you do 180-119 you get 61 degrees

FIRST CORRECT ANSWER GETS BRANLIEST !!!!!!!!

Answers

Answer:

4 - 1 = 3

10 - 6 = 4

Step-by-step explanation:

Find a positive and a negative coterminal angle for 50 degrees

Answers

Answer: To find the coterminal angle of a 50° angle, add 360°. It would follow that 50°+360°=410°. A 410° angle is illustrated below. From the graphical representation of the angle, we can conclude that these two angles do indeed share the same terminal side, meaning they are coterminal.

Step-by-step explanation:

The positive and negative coterminal angle for 50 degrees are 410 degrees and -310 degrees respectively.

What is coterminal angle?

'Coterminal angles are the angles that have the same initial side and share the terminal sides.'

According to the given problem,

To find positive coterminal angle, we have to add 360 degrees to it,

⇒ 50 + 360 = 410 degrees.

To find negative co terminal angle, we have to subtract 360 degrees from it,

⇒ 50 - 360 = -310 degrees.

Hence, we can conclude that 410 degrees and -310 degrees are the coterminal angle for 50 degrees.

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An art gallery had 12 paintings for sale.
A customer bought 3 paintings.

What fraction of the paintings are still for sale?

Answers

3 fourths will be your awnser

Answer:

3/4

Step-by-step explanation:

Solve the equation.
5x = 16
Solve for x

Answers

Answer:

x=3.2

x=15/6

x=3 1/5

es que necesito para diagnostico

I need help on this question

Answers

Answer:

D

Step-by-step explanation:

The correct answer is D because the X axis has the point intersecting at 0 and the Y axis has the same point intersecting at -2

Convert 36000cm^2 to m^2

Answers

Answer:

its 3.6

Step-by-step explanation:

60PTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS HELP IMA FAIL
1.Which recursive formula fits the following pattern?
50, 25, 12.5, 6.25, 3.125...
A(n+1) = A(n) ÷ 2, A(1) = 50
A(n+1) = A(n) − 2, A(1) = 50
A(n+1) = A(n) ÷ 50, A(1) = 50
A(n+1) = A(n) − 50,A(1) = 50
2.
What does a7 mean?
3.
Write a Recursive and Explicit Sequence for the following pattern.
1, 5, 9, 13, 17...
4.What are the first 5 terms in the following recursive sequence?
A(n+1) = A(n) × 3 A(1) = 2
5.
Which Explicit formula would fit this pattern?
3,7,11,15,19...
*Remember, you can check by plugging in the term numbers to see if you get the correct output*

Answers

1. Answer:

i dont know

Step-by-step explanation:

they didnt teach me this

2. Answer:

a7 means what ever a is you have to multiply it by 7

Step-by-step explanation:

When ever you see a letter infornt or followed by a number you always multiply it by the number.

3. Answer:

1, 5, 9, 13, 17, 21, 25, 29, 33, ect.

Step-by-step explanation:

Just keep adding four

5. Answer:

3, 7, 11, 15, 19, 23, 27, 31, ect.

Step-by-step explanation:

Just keep adding four

Answer:

1) A(n+1) = A(n) ÷ 2, A(1) = 50

2) 7 multiplied by a.

3) 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, ....      (add 4 each time)

4) A(n+1)=A(n) x 3A(1)=2  

2, 5, 8, 11, 14

5) 3, 7, 11, 15, 19,...    A(n+1)=A(n)+4, A(1)=3

Step-by-step explanation:

8/9 divided by 5? :’)

Answers

Answer:

8/45 or 0.177...... (the seven continues forever).

Step-by-step explanation:

8/9 ÷ 5

First, turn 5 into a fraction. That will be 5/1

8/9 ÷ 5/1

When you're dividing fractions, you flip the second fraction and turn the division sign to a mutiplication sign

8/9 ÷ 1/5

8/9 * 1/5

Now you multiply. We will multiply the numerator and then the denominators through since there are no common factors.

8 * 1/9 * 5

8/45

Simplify the following expression:
(2a - 3) + (-a + 5)
PLEASE HELP ME

Answers

Answer:

(a+2)

Soo you could solve by removing the parenthesis, then combining all like terms. Then subtract.

Your answer would be 1a+2
Or a+2

if a number is a natural number, then it is also a whole number inverse

Answers

Answer:

I believe you're learning geometry. Anyways, here are examples of natural numbers: 1, 2, 3... Meanwhile, here are examples of whole numbers: 0, 1, 2, 3... Natural numbers are all the positive whole numbers. Whole numbers are quantities that are both positive and neutral, and don't include any fractions or decimals.

Step-by-step explanation:

it is i think sorry if wrong

Lines a b c and d are shown below. Which lines are parallel? Which line are perpendicular? Explain and jutsify your answer using slopes

Answers

Answer:

Lines A and C are parallel

Lines B and D are perpendicular

Step-by-step explanation:

Given

See attachment for lines A to D

Required

Determine the parallel and perpendicular lines

To start with, we calculate the slope of each line.

Line A

The points on line A are:

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (-1,2)[/tex]

Calculate the slope (m)

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

[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]

[tex]m = \frac{2 +4}{-4}[/tex]

[tex]m = \frac{6}{-4}[/tex]

[tex]m_1 = -\frac{3}{2}[/tex]

Line B

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

Calculate the slope (m)

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

[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]

[tex]m = \frac{-2}{2 +1}[/tex]

[tex]m_2 = -\frac{2}{3}[/tex]

Line C

[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]

Open bracket

[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]

[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]

[tex]y - 9 = -\frac{3}{2}x -12[/tex]

Make y the subject

[tex]y = -\frac{3}{2}x -12+9[/tex]

[tex]y = -\frac{3}{2}x -3[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_3 = -\frac{3}{2}[/tex]

Line D

[tex]12x - 8y = 40[/tex]

Subtract 12x from both sides

[tex]12x-12x - 8y = -12x+40[/tex]

[tex]- 8y = -12x+40[/tex]

Divide through by -8

[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]

[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]

[tex]y= \frac{3}{2}x-5[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_4 = \frac{3}{2}[/tex]

So, the slopes of the lines are:

[tex]m_1 = -\frac{3}{2}[/tex]      [tex]m_2 = -\frac{2}{3}[/tex]     [tex]m_3 = -\frac{3}{2}[/tex]       [tex]m_4 = \frac{3}{2}[/tex]

Lines with the same slope are parallel.

So:

Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel

Lines with the following relationship are perpendicular:

[tex]m * M = -1[/tex]

Lines B and D are perpendicular because:

[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]

[tex]-\frac{6}{6} = -1[/tex]

[tex]-1 = -1[/tex]

Finding missing angles please help!!! pls

Answers

Answer:

x = 15

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

how to write a fraction in interval notation

Answers

Answer:

So it's all real numbers except for that value okay now I want to show you guys how to write that in interval. Form because it we wrote all real numbers as negative infinity to infinity

Step-by-step explanation:

how would the numbers 6870000 appear in scientific notation on a calculator screen ​

Answers

Answer: D

Step-by-step explanation:

Which one is it? I got confused plz help

Answers

Answer:

Red: 2.035 x 10(4)

Step-by-step explanation:

Answer:

Red.

Step-by-step explanation:

Scientific notation consists of the ones place with a decimal right after it and a 10 to the something power next to it, therefore red is your answer.

In the right triangle shown, m\angle K = 60\degreem∠K=60°m, angle, K, equals, 60, degree and KL=2KL=2K, L, equals, 2.

How long is JL?

Answers

Answer:

Step-by-step explanation:

2 squartroot 3

The length (JL) of the right-angle triangle will be 1.732 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

In the right triangle shown, angle ∠K = 60° and KL is 2. Then the measure of the length JL will be given by the sine the angle ∠K. Then the equation is given as,

JL / KL = sin ∠K

h / 2 = sin 60°

h / 2 = √3 / 2

h = √3

h = 1.732 units

The length (JL) of the right-angle triangle will be 1.732 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour.

Answers

Answer:

Mai makes 5 signs

Clare makes 3.75 sings

Noah makes 6 sings

together they make 14.75 sings

Step-by-step explanation:

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay hamburger meat sells for $6 for every 3 pounds.

Answers

the correct answer will be $20
She'll pay 20$. If the meat is 6$ for every three pounds and she is trying to buy ten pounds, she's going to be purchasing at least nine pounds of the meat. 3x3=9, so 6x3=18. After that she'd still have a pound to pay for. In this case we divide. 3/3=1, so 6/3=2. One pound of meat is equal to 2$. Add 18$ and 2$ and you get 20$

what is the reference angle for 300 degrees

Answers

Answer:

60 degrees

Step-by-step explanation:

360 minus 300 = 60.

i need help pleases and thanks

Answers

Answer:

associative

Step-by-step explanation:

hope dis helps

Option 1 commutative hope this help

A movie theater has 26 rows of seats with an equal number of seats in each row. The theater can seat a total of 390 people. Solve the equation 26x = 390 to find the number of seats x that are in each row.

Answers

Answer:

15 seats per row or x=15

Step-by-step explanation:

26x = 390

390/26 = 15

PLZ MARK AS BRAINLIEST

Answer:

15

Step-by-step explanation:

26x = 390

26       26

x = 15

The number of people who voted for the Green Party in an election was 1500
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in its simplest form

Answers

Answer:

1:6

Step-by-step explanation:

1500:9000

=150:900 (divide by ten)

=15:90 (divide by ten)

= 1:6. (divide each number by 15)

Pls help me someone!!!

Answers

Answer:

n^2(radical)7

Step-by-step explanation:

You have to find the square root of all the components separately. 7 is not a perfect square (one number*itself = perfect square, ex 4 is the perfect square of 2 because 2*2=4) but the n^4 can be simplified and brought outside of the radical. When finding the square root of variables with exponents they have to come out in pairs to create that "perfect square." Therefore when you move a variable, you basically divide the exponent by 2. so n^4 inside the radical becomes n^2 outside of the radical, leaving the problem itself to become n^2 (radical) 7.

Omg I got no idea lol sorry

-8x + 10 = -62
4 + 3x = 25
4x + 2x + 5 = 41
5x - 8 = 32
3 + 6x = 21
5 - 2x = 15
8x + 10 = -38
-36 = -4x -16
-5 + 3x = -26
8x - 5 = -29
Show full work please​

Answers

Answer:

I will do 4 questions and you can solve the rest I did.

Hope this help, thank you !!

Find the surface area of the figure shown. The surface area of the figure is
5.1 ft
4 ft
2 ft
8.2 ft

Answers

I think it’s the total , 19.3

Gary ran 6 more laps than Edwin during track practice. Together they
ran 40 laps. How many laps did each person?

Answers

Answer:

edwin 14, gary 20

Step-by-step explanation:

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