A plane is flying at an elevation of 25000feet. It is within the sight of the airport and the pilot finds that the angle of depression to the airport is 14 degrees. Find the diagonal distance between the plane and the base of the airport.

Answers

Answer 1

Answer:

The distance between the plane and the base of the airport = 103339.14 ft

Step-by-step explanation:

Consider the diagram attached.

We can notice that the a triangle (ABC) can be formed between the plane, the airport, and a vertical line drawn from the ground to the plane showing its altitude.

The angle of depression is 14 degrees. This means that angle BAC is 90 - 14 = 76 degrees.

From triangle laws, we will have that [tex]cos 76 = \frac{Altitude}{AC}[/tex]

[tex]AC = \frac{25000}{(cos 76)} = 103339.14 ft[/tex]

Hence, the distance between the plane and the base of the airport = 103339.14 ft

A Plane Is Flying At An Elevation Of 25000feet. It Is Within The Sight Of The Airport And The Pilot Finds
Answer 2

The diagonal distance between the plane and the base of the airport is 103339.14 ft.

This situation forms a right angle triangle.

The plane is flying at an elevation of 25000 ft.

The elevation is the height or opposite side of the triangle.

The diagonal distance between the plane and the base of the airport is the hypotenuse of the triangle.

Therefore, using trigonometric ratio,

sin 14° = opposite / hypotenuse

sin 14° = 25000 / d

d = 25000 / sin 14

d = 25000 / 0.2419218956

d = 103339.137361 ft

Therefore, the diagonal between the plane and the base of the airport is  103339.14 ft.

learn more on depression here: https://brainly.com/question/13545523?referrer=searchResults


Related Questions

If you invest $1,000 at the age of 15 and it earns 9% annually, what will the
original investment be worth at the age of 62? *

Answers

Answer:

4230

Step-by-step explanation:

I=PRT

I=1000*9/100*62-15

I=1000*9/100*47

I=4230

Evan has x red marbles, twice as many as blue marbles as red marbles and y yellow marbles. How many marbles does Evan have all together in terms of x and y?​

Answers

Answer:

3x+y

Step-by-step explanation:

x+2x+y

=3x+y

PLS HELP ASAP!!!!!
(Classify △LMN. Choose 2 answers).

Answers

Ans : A and F

Step-by-step explanation:

Answer:

As shown in picture:

Triangle LMN has 3 angles which are smaller than 90

=> Acute triangle (option C)

Triangle LMN has 2 sides which are equal in length (LM and LN)

=> Isosceles triangle (Option F)

Hope this helps!

:)

For what values of x is x^(2)-36=5x true?

Answers

Answer:

for

x= -4 and

x= 9

..............

If the size of a scale drawing is 50 x 36 cm and the scale factor is 5:1 what is the size of the actual object?

Answers

Answer:

50*30=1500

Step-by-step explanation:

what is the value of x

Answers

Answer:

73

Step-by-step explanation:

2x+x+53+88=360

Add up the numbers together.

3x+141=360

Subtract 141 from 360

3x=219

Divide 219 by 3

x=73

Divide and answer in simpilist form: 1/2 ÷4​

Answers

Answer:

1/8

Step-by-step explanation:

1/2 ÷4​

Copy dot flip

1/2 * 1/4

1/8

Answer:

1/8

I want brainliest!!! :)

Step-by-step explanation:

1/2 divided by 4

1/2/4 = 1/8

what is the value of 4x+3y

Answers

Answer: 25

Step-by-step explanation:

(4)(4)+(3)(3)

What is the volume of a sphere whose radius is 6 yards?

Answers

Answer:

[tex] 904.32 \: {yard}^{3} [/tex]

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {6}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 216 \\ \\ = \frac{4 \times 3.14 \times 216}{3} \\ \\ = \frac{2,712.96}{3} \\ = 904.32 \: {yard}^{3} [/tex]

Find the volume of the sphere with a radius of 2 Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth

Answers

Answer:

33.51

Step-by-step explanation:

The volume for finding a sphere is V= 4/3 x π x r ^3

(V=volume, r= radius)

V= 4/3 x π x r ^3

V= 4/3 x π x 2 ^3

2^3= 8

Calculator: 4 ÷ 3 x 3.14 (OR PI SYMBOL) x 8

ANSWER: 33.51

Dan buys a car for £900.
It depreciates at a rate of 1.2% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.

Answers

Since the car value is worth £900 and it depreciates at a rate of 1.2%, you need multiply the value by 0.012 (1.2% in decimal form) and subtract it by the value of each preceding year.

$857.58 is the price of car after 4 years.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Dan buys a car for £900.

It depreciates at a rate of 1.2% per year

We need to find the cost of car after 4 years.

1.2/100=0.012

Now multiply 0.012 with 900

10.8

So for first year it will be 900-10.8=889.2

0.012×889.2

10.67

For second year 889.2-10.67=878.53

0.012×878.53=10.54

For third year 878.53-10.54=867.99

0.012×867.99=10.41

For fourth year 867.99-10.41=857.58

Hence, after 4 years the price of car will be 857.58.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

I will give the brainliest to whoever answers correctly.
Write the expression in radical form
(144x)^1/2 (simplify your answer) thankyou!!

Answers

Answer:

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

Step-by-step explanation:

(144x)^1/2

(ab) ^ 1/2 = a^1/2 b^1/2

144 ^ 1/2  x^1/2

12 x^1/2

In radical form

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

There are 250 freshman at Central High School. You survey 50 randomly selected freshmen and find that 35 plan to go to the school party on Friday. How many freshmen are likely to be at the party?

Answers

I think the answer is 175.

Hopefully this helps.

x + 12.2 = 42.33
Please solve for x

Answers

☺ Please Mark Brainliest ☺

Answer:

x=30.13

Step-by-step explanation:

x + 12.2 = 42.33

   -12.2 = -12.2

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

x=30.13

Answer:

x=30.13

Step-by-step explanation:

i think idrk i put in my calculator and got this

wanna make me brainliest

NEED YOUR HELP ASAP!!!!

Answers

Answer:

1 thing that would be true is that one green triangle weighs the same as three blue squares. One thing that cannot possibly be true is that a green triangle weighs the same as a blue square.

Step-by-step explanation:

Sam paid 75 for 15hamburgers what is the unit price of one hamburger

Answers

The cost of one hamburger is 5

look at the attached picture

Hope it will help you

Good luck on your assignment

。☆✼★ ━━━━━━━━━━━━━━  ☾  

15 burgers = 75

Divide by 15 to get the price of 1

1 burger = 5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes?

Answers

Complete question:

The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes? Hamid's soccer game time is 7:00 to 9:15

Answer:

2 more games can be played before the park closes.

Step-by-step explanation:

Given that Hamid's soccer game time is from 7:00 to 9:15 and there's a 15 minute break between games played, the next game time would be: 9:15 + 15 = 9:30

The time for each game would be calculated as:

stop time - start time = 9:15 - 7:00 = 2:15.

Thus, each game time = 2hrs 15mins

The next game time would be:

9:30 + 2:15 = 11:45

This means the next game would be from 9:30 to 11:45

After this, there would be another game(a second extra game) since the park closes at 2:30PM.

Therefore, the next game time would be:

11:45 + 15 mins break = 12:00

The game duration =

12:00 + 2hrs 15 mins = 14:15 or 2:15PM

Considering the fact that the park closes by 2:30 PM, 2 more games will be played.

Please Help me solve it. Thanks in Advance!

Answers

Answer:

27π

Step-by-step explanation:

First, find the area as though the circle were complete.

A = πr²

A = π(6)²

A = 36π

Now, if you look at the diagram, you can see that the chunk missing forms a 90 degree angle.  In a circle, there is 360 degrees in total.  This means that only 3/4 of the circle is left.  Multiply the area by 3/4.

36π × 3/4 = 27π

The area is 27π.

A rectangle has a height of xxx and a width of 7x-47x−47, x, minus, 4.
Express the area of the entire rectangle.

Answers

Answer:

[tex]7x^{2}-4x[/tex]

Step-by-step explanation:

Area of a rectangle is expressed as Length * Width

Given the length/height = x

width = 7x-4

Area of the rectangle = [tex]x(7x-4)[/tex]

On opening the bracket;

Area of the rectangle = [tex]7x^{2}-4x[/tex]

PLEASE HELP ME!!
Read this passage from Part 1 of “The Purloined Letter.”

“And what, after all, is the matter on hand?” I asked.

“Why, I will tell you,” replied the Prefect, as he gave a long, steady, and contemplative puff, and settled himself in his chair. “I will tell you in a few words; but, before I begin, let me caution you that this is an affair demanding the greatest secrecy, and that I should most probably lose the position I now hold, were it known that I confided it to any one.

“Proceed,” said I.

What is the most likely reason Poe uses a slow pace in this part of the scene?

The Purloined Letter, Part 1

to provide foreshadowing of the story (not correct, i tried)

to reduce the tension in the story

to summarize the story that is about to be told

to increase suspense about the story to come

Answers

Answer:

To increase suspense

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To increase suspense about the story to come

I just took the test and got it right. Hope this helps!! :)

correct answer.
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter
of the larger cylinder?
48 in
32 in
12 in
Figures not drawn to scale
А
28 inches
B
20 inches
18 inches

Answers

Answer:

18 inches

Step-by-step explanation:

Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches

To find: diameter of the larger cylinder

Solution:

Height of the larger cylinder (H) = 48 inches

Height of the smaller cylinder (h) = 32 inches

Diameter of the smaller cylinder (d) = 12 inches

Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches

As two cylinders are similar, their heights and radii are proportional.

[tex]\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches[/tex]

Diameter of the larger cylinder = 2R = 2(9) = 18 inches

In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial. What is the result of applying the square root property of equality to this equation?

Answers

Answer:

The result is

x + b/2a= ±√[(b² - 4ac)/2a]

Step-by-step explanation:

In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial

ax² + bx + c = 0

x² + (b/a)x + c/a = 0

x² + 2(b/2a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

(x + b/2a)² = b²/4a² - c/a

(x + b/2a)² = (b² - 4ac)/2a

Apply square roots to both sides

x + b/2a= ±√[(b² - 4ac)/2a]

it can also be explained as B on edg :)

What is 1/4 written as a precent

Answers

So the right answer is 25%.

Look at the attached picture

Hope it will help you..

Good luck on your assignment

~pragya

Answer:

25%

Step-by-step explanation:

1/4

Multiply the numerator and denominator by 25

25/100

Write as a division expression

25 ÷ 100

Divide

0.25

Multiply the decimal by 100 to get a percentage

0.25 * 100

25%

Hope this helps :)

Which of the following functions is graphed below?

Answers

Answer:

idk man if you want to add a picture click the paperclip thingy though

Which system of equations has one solution?
On a coordinate plane, 2 lines intersect at one point.
On a coordinate plane, 2 lines are parallel to each other.
On a coordinate plane, a line has a positive slope.

Answers

Answer:

A

Step-by-step explanation:

Hence, the option (A) is the correct answer i.e., On a coordinate plane, two lines intersect at one point

What are the one solution ?

One Solution Equation is when an equation has only one solution. This means that when you solve an equation, the variable can only be subsituted by one number to make an equation true.

So, when the two lines passes and intersect at one point it forms one solution so that is why option (A) is correct i.e., On a coordinate plane, two lines intersect at one point.

Hence, the option (A) is the correct answer i.e., On a coordinate plane, two lines intersect at one point

To know more about the one solution

https://brainly.com/question/1625871

#SPJ6

Given the function g(x) = 7x - 14 find its inverse function.

Answers

Answer:

The inverse is 1/7x +2

Step-by-step explanation:

y = 7x - 14

Exchange x and y

x = 7y-14

Solve for y

Add 14 to each side

x+14 = 7y-14+14

x+14 = 7y

Divide each side by 7

(x+14)/7 = 7y/7

1/7x +2 = y

The inverse is 1/7x +2

Answer:

g^-1(x)=x/7+2

Step-by-step explanation:

y=7x-14

7y-14=x

7y=x+14

y=1/7x+2

g^-1(x)=x/7+2

What’s 0.005 recurring as a fraction

Answers

Answer:

0.005 = 5/1000 = 1/200

Hope it helps

Serena bought 4 packs of pencils and 12 notebooks
for fall semester which cost her $60.00. She then
bought 14 packs of pencils and 7 notebooks for
spring semester which cost her $70.00. How much
did each pack of pencils and each notebook cost?

Answers

Answer:

6

Step-by-step explanation:

that is what it said the correct answer was

Answer: pencil (x) = 3.00, notebook (y) = 4.00

Step-by-step explanation:

Let pencils be denoted using 'x', and notebooks 'y'.

4x+12y = 60, 14x+7y=70

Let us use the method of elimination. However, neither variable has the same coefficient, so let us multiply the first equation using 7, and the second using 2.

7(4x+12y = 60) => 28x+84y=420

2(14x+7y=70) => 28x+14y=140

Let us subtract the second equation from the first. This eliminates the first variable x, and gives the equation 70y=280

Dividing either side of the equation by 70, we get y=4.

If we substitute (plug in) y=4 for the first equation we get x=3

NEED HELP ASAP - 35 Pts. + BRAINLIEST for the best answer!!! (Please show your work)

Question:
The smallest insects that a bat can detect are approximately the size of one wavelength of the sound the bat makes (sonar). What is the minimum frequency of sound waves required for the bat to detect an insect that is 0.60 cm long? (Assume the speed of sound is 340 m/s.)

Answers

Answer:

a.

f

580

k

H

z

b.

T

=

1.7

10

6

s

Explanation:

a. The formula that relates frequency and wavelength is

f

=

v

λ

where f is frequency, v is the velocity of propagation (velocity of sound in this case), and

λ

is the wavelength.

To detect this fly,

λ

needs to be

5.7

10

4

m

, (or shorter). Using

331

m

s

for the speed of sound,

f

=

331

m

s

5.7

10

4

m

=

58.07

10

4

s

1

580

k

H

z

b. Period,

T

, is the reciprocal of frequency.

T

=

1

f

=

1

58.07

10

4

s

1

=

0.0172

10

4

s

1.7

10

6

s

I hope this helps,

Step-by-step explanation:

square root of 476 is?

Answers

Answer:

The square root of 476 is 21.8

Answer: The answer is 21.817 I hope that helps!

Step-by-step explanation:

Other Questions
What was the main difference between the Czech and Romanian revolutions?A. The Czech Revolution involved religious leaders, and theRomanian revolution involved factory workers.B. The Czech Revolution was unsuccessful, but the Romanianrevolution was successful.C. The Czech Revolution destroyed Prague, but the Romanianrevolution involved no violence.D. The Czech Revolution was peaceful, and the Romanian revolucionwas violent. what are two traditions from antiquity inspired renaissance why was britan able to expand its empire during the industrial revolution? Which sentence uses the passive voice of the main verb One square tile on your kitchen floor is 11.25 inches long. It takes 12.5 tiles to coverthe length of the floor. About how long is the floor?1.25 inches23.75 inches132.125 inches140.63 inches what is x+y+zx23-34/2=8? Kyle believes that the equation of the line of best fit for the scatterplot below is Which statement best summarizes why Kyle is incorrect? Kyle's equation has a negative y-intercept, but the scatterplot shows a point on the y-axis with a positive y-value. Kyle's equation has a negative y-intercept, but the scatterplot shows a positive correlation. Kyle's equation has a negative slope, but the scatterplot shows a point on the y-axis with a positive y-value. Kyle's equation has a negative slope, but the scatterplot shows a positive correlation. the diagram shows the position of the ship(S) and the marine base(B) the scale of the diagram is 1cm represents 10km.a)work out the real distance between the ship and the base.b) Measure the bearing of B from S Albert uses 4One-half ounces of paint on a sculpture. His cousin Tony uses 0.8 as much paint as Albert on a portrait. Together, how much paint do Tony and Albert use?3.6 ounces5.3 ounces8.1 ounces8.2 ouncesPLEASE AWNSER ASAP WITH GIVE BRAINLEST IF U DO if a cylinder has a volume of approximately 125.6 cubic cm and has a height of 10cm what is the length of the radius Based on President Obamas statement, are his views on gun control liberal, conservative, or neutral? The British commonwealth is Hi if u could help me that would be great, have a nice day!!! Early Rome's religion was primarily______. 1. Monotheistic2. Polytheistic3. Wiccan4. Jedi We have three containers whose sizes are 10 pints, 7 pints, and 4 pints, respectively. The 7-pint and 4-pint containers start out full of water, but the 10-pint container is initially empty. We are allowed one type of operation: pouring the contents of one container into another, stopping only when the source container is empty or the destination container is full. We want to know if there is a sequence of pourings that leaves exactly 2 pints in the 7-pint or 4-pint container.(a) Model this as a graph problem: give a precise definition of the graph involved and state the specific question about this graph that needs to be answered. (b) What algorithm should be applied to solve the problem? (c) Find the answer by applying the algorithm. In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 209. What is the probability that th Without a proper diver's light, when is it NOT permitted to engage in diving activities in Minnesota?12:00From one hour before sunset to sunriseBFrom one hour after sunset to sunriseCBetween 10PM and 8AMDBetween Midnight and NoonPreviousNext Someone help me please Which of these is a function of estrogen in reproduction?A. Providing sugar for the maturation and motility of spermB. Providing insulin for controlling blood sugar levelsC. Promoting the release of eggs by regulating other hormonesD. Promoting the development of adult male characteristics Which line from the passage best supports theinference that the daughter is motivated by a desire forindependence?"So now on nights when my mother presented hertests, I performed listlessly."The sound was comforting and reminded me of thecow jumping over the moon."After a while I usually counted only one, maybetwo bellows at most.'"I started counting the bellows of the foghorns outon the bay." Use same image Select an equation to find the value of x.(x+12)=3x(x+12)+3x=90(x+12)3x=180(x+12)+3x=180then tell me where the angles go on the image.126 left or right 56 left or right