An airplane is flying 4,000 feet above the ground. It is approaching the runway. A person is standing on the runway looking up at the plane. If the angle of elevation is 12 degrees
what is the distance of the plane from the runway, to the nearest tenth of a foot?

Answers

Answer 1

i am from afghanistan and you all gus

Answer 2

The trigonometric relation is solved and distance of the plane from the runway is D = 18,818.52 feet

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

An airplane is flying 4,000 feet above the ground

A person is standing on the runway looking up at the plane. And the angle of elevation is 12°

So , from the trigonometric relation , we get

tan 12° = 4000 / D

On simplifying , we get

D = 4000 /  0.21255656167

D = 18,818.52 feet

Hence , the distance is D = 18,818.52 feet

To learn more about trigonometric relations click :

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Related Questions

5. Three lines are drawn so that they all intersect at a common point. In the figure below, m41
=
x°, mL2 = 2x°, and m43 = 75°.
Which equations can be used to determine the value of x?
Select all that apply.
A. 3x° = 75°
B. 3x° =
105°
C. 3x° = 255°
D. 3x° + 75° = 180°
E. x° + 2x° + 75° =
180°
F. x° + 2x° + 3x° = 360°

Answers

Answer: BDE

Step-by-step explanation:

Because angles 1, 2, and 3 form a straight angle, x+2x+75=180 -> E

Simplifying, we get that 3x+75=180 -> D

Subracing 75 from both sides, we get 3x = 105 -> B

Select all the rectangles that have an area of 15/24 square inches.

Answers

Answer:

BD

Step-by-step explanation:

Area of a rectangle

Base x Height

Rectangle B

3/8 x 5/3 = 15/24 square inches

Rectangle D

5/4 x 3/6 = 15/24 square inches

Answer:

Options B and D

Step-by-step explanation:

Step 1:  Determine the area of Option A

[tex]A = l * w[/tex]

[tex]A = (5/8\ in) * (10/3\ in)[/tex]

[tex]A = 50/24\ in^2[/tex]
[tex]A = 25/12\ in^2[/tex]

Step 2:  Determine the area of Option B

[tex]A = l * w[/tex]

[tex]A = (5/3\ in) * (3/8\ in)[/tex]

[tex]A = 15/24\ in^2[/tex]

Step 3:  Determine the area of Option C

[tex]A = l * w[/tex]

[tex]A = (8/6\ in) * (7/4\ in)[/tex]

[tex]A = 56/24\ in^2[/tex]

[tex]A = 7/3\ in^2[/tex]

Step 4:  Determine the are of Option D

[tex]A = l * w[/tex]

[tex]A = (3/6\ in) * (5/4\ in)[/tex]

[tex]A = 15/24\ in^2[/tex]

Step 5:  Determine the area of Option E

[tex]A = l * w[/tex]

[tex]A = (5/15\ in) * (3/9\ in)[/tex]

[tex]A = 15/135\ in^2[/tex]

[tex]A = 1/9\ in^2[/tex]

Answer:  Options B and D

A TV has a listed price of 515.95 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax included.

Answers

Answer:

566.25

Step-by-step explanation:

515.95×9.75%=50.30

515.95+50.30=566.25

Sharon packed 36 eggs into a carton with 4 rows. How many columns are in the cartons?
3
9
36
12

Answers

the answer is 9 columns

Answer:

The Answer would be 9

Step-by-step explanation:

I got it right on my test!

When graphing the equation y=-3x+2, a student plotted the y-intercept at 2, then moved down three units and to the left 2 units because the slope is negative, so both rise and run are negative. Find this error and correct it.

Answers

Answer:

The error is founded in the slope, specifically in the run.

When seen a negative slope, that only applies to the rise but not the run.

Instead, the student should run 1(not 2) units to the right.

The slope had not mentioned any 2 in the run.

So it would sound like down 3, over 1, starting from 2.

The y intercept at 2 is correct. This is the location (0,2)

The slope is -3 or -3/1, meaning that we move down 3 and to the right 1 unit. Doing so has us go from (0,2) to (1,-1). Plot these two points together on the same xy grid and draw a straight line through the two points.

See below.

If p p and q q vary inversely and p is 17 when q is 4, determine q when p p is equal to 2.

Answers

Answer:

[tex]q = 34[/tex] when [tex]p = 2[/tex].

Step-by-step explanation:

Variables [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another if one variable- for example, [tex]p[/tex]- is proportional to the reciprocoal of the other variable- [tex](1/q)[/tex].

In other words, if [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another, there would exist a constant [tex]k[/tex] ([tex]k \ne 0[/tex]) such that:

[tex]\displaystyle p = k\times \left(\frac{1}{q}\right)[/tex].

The value of [tex]k[/tex] is constant and is independent of [tex]p[/tex] and [tex]q[/tex]. Given that [tex]p = 17[/tex] when [tex]q = 4[/tex], rearrange the equation above to find the value of [tex]k\![/tex]:

[tex]k = p\, q = 68[/tex].

Rewrite the equation again to find [tex]q[/tex] in terms of [tex]k[/tex] (which doesn't change) and [tex]p[/tex] (which might change):

[tex]\begin{aligned}q &= \frac{k}{p}\end{aligned}[/tex].

Since [tex]k = 68[/tex], given that [tex]p = 2[/tex], the value of [tex]q[/tex] would be:

[tex]\begin{aligned}q &= \frac{k}{p} \\ &= \frac{68}{2} = 34\end{aligned}[/tex].

Find the equation of the line shown (first one to do it gets brainlist)

Answers

Answer:

y = 1/4x + 2

Step-by-step explanation:

We do y = mx + b

slope = rise over run = 1/4

Y-intercept = 2

Equation is y = 1/4x + 2

Answer:

y = -0.25x + 2

Step-by-step explanation:

When x=0, y = 2

When y=0, x = 8

X = 0 – 4 = -4

Y = 2 – 1 = 1

[tex]Slope\:(m)=\frac{y}{x} =\frac{1}{-4} =-0.25[/tex]

WILL MARK BRAINLIEST IF RIGHT
EXTRA POINTS!!! HELP

Answers

Answer:

Step-by-step explanation:

For interiors, you can choose <3 and <6

<2 and <7 will go together.

<1 and <5 for corresponding

Doug has a bag full of crayons. There are 6 red crayons, 7 blue ones, and 4 green crayons. Doug wants to color a blue sky. What is the probability that Doug will pull out a red crayon, put it back in the bag, and then get a blue crayon? Write your answer as a simplified fraction

Answers

Answer:

[tex]\sf \dfrac{7}{17}[/tex]

Step-by-step explanation:

Given information:

6 red crayons7 blue crayons4 green crayons

⇒ total number of crayons = 6 + 7 + 4 = 17

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(red\:crayon) =\dfrac{\textsf{Number of red crayons}}{\textsf{Total number of crayons}}=\dfrac{6}{17}[/tex]

If the red crayon is put back in the bag, the drawing of the red crayon prior to drawing the blue crayon will not affect the probability of drawing a blue crayon.

[tex]\implies \sf P(blue\:crayon)=\dfrac{\textsf{Number of blue crayons}}{\textsf{Total number of crayons}}=\dfrac{7}{17}[/tex]

This weekend, Paul earned $42 selling
handmade drawings. He sold some
posters for $9 each and a drawing for
$15. Which equation represents this
situation?
A 42 = (9 + p) - 15
B 42 = (9+ p) + 15
c 42 = (9 x p) + 15
D 42 = (9 x p) - 15

Answers

Answer:

C

Step-by-step explanation:

lol

A 19th-century explorer crossing a desert has run out of water. He has the best chance of surviving if he can find Choose one: A. an oasis. B. a rain shadow. C. a playa. D. an ephemeral stream.

Answers

The 19th-century explorer crossing a desert has the best chance of survival if he crossses an oasis.

What is an oasis?

An oasis is a patch of fertile land found in a desert. In an oasis, water is usually found there. Also, in an oasis, plants and animals are also found there.

Example of oases are:

Siwa Oasis, EgyptCrescent Moon Lake, Dunhuang, ChinaChebika Oasis, TunisiaHavasu Falls, Grand Canyon, USA

To learn more about an oasis, please check: https://brainly.com/question/4068816

Janet was given $500 by her grandmother to spend on invitations for her wedding. Three invitations cost $10 to print.Which equation can be used to represent y, the amount of money Janet has left after purchasing x wedding invitations?

Answers

Answer: y = - 3 [tex]\frac{1}{3}[/tex]x + 500

Step-by-step explanation:

       First, we will start off with y = since y is the amount of money left to spend.

       Next, we see that three invitations cost $10. $10 / 3 = 3 [tex]\frac{1}{3}[/tex]. One invitation will cost $3 [tex]\frac{1}{3}[/tex]

       Lastly, we will create our final equation in slope-intercept form:

y = - 3 [tex]\frac{1}{3}[/tex]x + 500

      Side Note: We also could write something like y = -10([tex]\frac{x}{3}[/tex]) + 500 if we did not want to change the cost.

Evaluate: -216 + (-6)

Answers

Answer:

-222

Step-by-step explanation:

Answer:

-222 cause a negative plus another negative gets you a positive

Step-by-step explanation:

which of the following are possible sode lengths for a triangle? A. 5, 18, 14 B. 9, 15, 4 C. 18, 12, 6​

Answers

answer: 5, 18, 14.

explanation: i just did it on acellus.

Stu takes a job with a starting salary of $65,000 for the first year. he earns a 2% increase each year. to the nearest dollar, how much does stu make over the first five years? $325,000 $331,500 $338,263 $358,826

Answers

Answer:

$338,263

Step-by-step explanation:

first year stays the same, then multiply the years salary x 1.02 for the following years

year 1 = $65000

year 2 = 66300

year 3 = 67626

year 4 = 68978.52

year 5 = 70358.09

total for 5 years = $338262.61

rounded to 338,263.

whats is the answer too the equation 90000x604982?

Answers

90000x604982 = 54448380000


Alternative form: 5.444838 x 10^10

Please help me on this question 20 points

Answers

Answer:

[tex]\left[\begin{array}{cc}10\\24\end{array}\right][/tex]

Step-by-step explanation:

Trial and error lol

x^2-2x-15>0; use -5,0 and 7 to help find the solution

Answers

I don't know what is given when I 8th May but if you can please send the answers

Please hurry!! Love ya

Answers

Answer:

the answer is c

Step-by-step explanation:

Find the area of the rhombus?

Answers

Answer: 84.5cm^2

Step-by-step explanation:

to find the area you need to use d1d2/2. So you plug in the numbers and get 13*13\2 and get 84.5

help me pleaseeeeeeeeee ​

Answers

Answer:

82.799...°

Step-by-step explanation:

First, we have to identify how many votes equals 1°

Therfore we divide 4700 by 360° because there are a total of 4700 votes and there are 360° in a circle.

(4700/360) = 13.055...

1° = approximately 13 votes

Secondly, let's look at how many votes Watkins received.

1081 votes

Lastly, since 1° equals 13.055... votes,

then if we divide the number of total votes Watkins got by 13.055 we will find the value of the central angle for the Watkins slice.

1081 ÷ 13.055... = 82.7999..

a rope 33cm long has a mass of 561 g. what is the mass of 13 cm of this rope.? can some one please help ​

Answers

Step-by-step explanation:

[tex]33cm = 561g[/tex]

[tex]13cm = x[/tex]

[tex] \frac{13}{33} \times 561[/tex]

[tex]221g[/tex]

Answer: 221

Step-by-step explanation:

33cm = 561g

1cm = 561/33 = 17

13cm = 17 × 13

PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
The ratio of the width to the height of a
television screen is 16:9.
If the height of the screen is 52 cm, which is
closest to the width?
a 92 cm
b 87 cm
c 59 cm
d 29 cm

----------------

Answers

Answer:

1-D

2.D

Step-by-step explanation:

Answer:

d. 256

d. 29 cm

Step-by-step explanation:

[tex]1) \: \: 25 - \sqrt{x} = 9 \\ \\ 25 - 9 = \sqrt{x} \\ \\ 16 = \sqrt{x} \\ \\ {(16)}^{2} = {( \sqrt{x} )}^{2} \\ \\ 256 = x \\ \\ x = 256 \\ \\ 2) \: \: 16x = 52 \\ \\ x = \frac{52}{16} \\ \\ x = 3.25 \\ \\ width = 3.25 \times 9 = 29.25 = 29[/tex]

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received.
How many slices of pizza did Harris eat?

Answers

Answer:

4 friends evenly divided up a n -slice pizza.

So, the number of slices each friend received = n/4

Now, Harrison ate 1 fewer slice than he received. As he received n/4 slices, so 1 fewer than n/4 means......

Harrison ate n/4-1 slices of pizza.

Step-by-step explanation:

PLEASE HELP!! 40 POINTS!!

Answers

Answer: B

We need to find the difference between the volume of the cone and the volume of the sphere, because it doesn’t contain ice.

Volume of the CONE:
[(pi)r^2(h)] : 3 = [3.14 (16) (6)] : 3 = 100.48in^3

Volume of the SPHERE:
4/3(pi)(r^3) = 4/3(3.14)(0.4)^3 = 0.26794666666 (periodic)

V(cone) - V(sphere) = 100.21205333333 (periodic)

The calculations follow the number [B].

The perimeter of a rectangular parking lot is 368 m.
If the width of the parking lot is 86 m, what is its length?

Answers

Answer:

98

Step-by-step explanation:86+86=172

368-172=196

196/2=98

create a line plot for the given
ages.
43, 40, 46, 40, 48, 50, 44, 44,
42, 41, 45, 42, 46, 44, 40

Answers

Answer:

here you go

Step-by-step explanation:

40, 40, 40, 41, 42, 42, 43, 44, 44, 44, 45, 46, 46, 48, 50

What is the correct answer NEED ANSWER ASAP​

Answers

Answer:

Your answer is

x-int: (3 , 0) ,  (-3/2 , 0)

y-int: (0 , -9)

Step-by-step explanation:

before his shopping spree, Elmer owned 52 scooters. Then he bought 82 more scooters. what is the ratio of scooters purchased to the resulting total number of scooters.

Answers

Answer:

Step-by-step explanation:

82 / (52+82)

82 / 134

41 / 67  

Which statement is true about angles 1 and 2?
Angles 1 and 2 are complementary.
Angles 1 and 2 are vertical.
Angles 1 and 2 are supplementary.
Angles 1 and 2 are adjacent.

Answers

Answer:

they are complementary

Step-by-step explanation:

complementary means adding up to 90° and it's true Abt the two angles

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