The angle of depression from an air traffic control tower to an airplane on the runway is 72 degrees. If the tower is 354 feet tall, how far is the airplane from the base of the tower?

Answers

Answer 1

Answer:

115.02 feet

Step-by-step explanation:

The angle of depression from an air traffic control tower to an airplane on the runway is 72 degrees. If the tower is 354 feet tall, how far is the airplane from the base of the tower?

We solve this question using the Trigonometric function of tan

tan x = Opposite/Adjacent

x = Angle of depression = 72°

Opposite = Height of the tower = 354 feet

Adjacent = Distance of the airplane from the base of the tower = y

Hence,

tan 72 = 354/y

Cross Multiply

tan 72 × y = 354

y = 354/tan 72

y = 115.02157247 feet

Approximately = 115.02 feet

Therefore, the distance of the airplane from the base of the tower is 115.02 feet


Related Questions

A Research company found that 11% of The people That they called agreed to Participate in a survey. If the company called 196 people, about how many would have be expected to participate in the survey?

Answers

Answer:

22

Step-by-step explanation:

11% of 196 = 21.56

Divide by 10 and divide by 100. Add them together

You must round this up because you cant really have .56 of a person.

15 is 125% of what number

Answers

Answer:

12 12 12 is the answer

Step-by-step explanation:

Answer: 12.

Answer:

15 is 125% of 12.

Step-by-step explanation:

Answer ASAP. 1+ 4.25n + 3/2 p-3+ (-2p) + 5/4n

Answers

Answer: this is a lot alright , 8n +4p

Step-by-step explanation:

A tree's shadow is 4.8 meters long on level ground, as shown. The angle of elevation from the tip of the shadow to the sun is 50°. Based on this information, what is the approximate height of the tree? Write a trig equation, show your work and pick your answer. A. 3.1 m B. 3.6 m C. 5.7 m D. 7.5 m

Answers

The height of the tree is 5.7m

What is angled of elevation?

Angle of elevation is the angle between the horizontal line and the line  of sight.

Analysis:

The height of the tree and the tree's shadow form a right angle triangle with the line of sight.

let the height of tree be h

tan 50 = h/4.8

h = 4.8 x tan 50

h = 4.8 x 1.191 = 5.7m

In conclusion, the height of the tree is 5.7m

Learn more about angle of elevation: brainly.com/question/88158

#SPJ2

A taxi cab company wants to know if it’s customers are satisfied with the service. Each driver surveys every 10th customer during the day. Is this sample biased?

Answers

Answer:

No

Step-by-step explanation:

Find the value of a and b.
2x + 5y = 9
3x – 2y = 4
x= ?
y= ?

Answers

2x + 5y = 9
3x - 2y = 4

1) Make the x equal the same (find common factor) which is 6
2) Time the whole equation by the factor for example 2x3= 6, times the top equation by 3. The bottom 3x2=6, times the bottom equation by 2:

6x+15y=27
6x-4y=8
(Cancel the x)

Left with: 19y =19 (15- -4y =19y) (27-8=19)
Therefore y = 1

Now substitute y=1 into the equation to find x

6x + 15(1)= 27
6x + 15 = 27
6x = 12
X = 2

Answers:
X=2, Y=1

Hope this helps!
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Isaac wants to earn $450 interest
so he will have enough to buy a
new computer. He puts $1000 into
an account and earns 4.5%
interest. How many years will he
need to leave his money in the
account to earn $450 in interest?

Answers

Isaac would have to leave his money in the account for 10 years to reach 450$ in interest
So the answer is 10 years

name the property of: 3x + 2=2 + 3x

Answers

Commutative property of addition

Which property of equality is used to solve LaTeX: -15.75=2.5x− 15.75 = 2.5 x ?

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Answer:

any want zo. om. id=2139350377

pass=7neBw6

PLSS HELP ASAP!! Ava writes each letter of the alphabet on separate note
cards and puts the cards in a hat. How many times
would you expect Ava to pick a letter from her name if she picks a card 50 times, returning the card to the hat
each time?
A about 2 times
B about 4 times
C about 13 times
D about 26 times

Answers

Answer:

I think about 2 to 4 times. Sorry if it isn't helpful... O^O

Is the equation y=4x proportional

Answers

Yes because it’s divisible by 2 and you can get an equal answer

i have 8 boxes of chocolate i eat 3 chocolates from each box i now have 72 chocolates in total

Answers

Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

Answer:

That means you had 48 chocolates in each box

Step-by-step explanation:

Since you eat 3 chocolates from all 8 boxes, you do this:

8 x 3 which = 24

Now since you have 72 chocolates left you do this:

72 - 24 which = 48

So, therefore, there were originally 48 chocolates in each box

(Don't eat so much chocolate lol you could get sick)

Caroline is going to invest $5,500 and leave it in an account for 10 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Caroline to end up with $10,100?

Answers

Answer:

6.1

Step-by-step explanation:

I just know

Please help me with these questions ..... sorry if it’s a lil blurry

Answers

Answer:

1.   8

2. 7

3. 8/3

4. c 27

Step-by-step explanation:

1.  Find 1 26/2=13 104/13=8

Just find the unit rate to help you solve

What is the area of this shape? ANSWER AS FAST AS YOU CAN!!!!

Answers

Answer: 5x4x8x4x5x2x6x8x1

Step-by-step explanation:

Answer:

32 Square centimeters

Step-by-step explanation:

You have to seperate the shape into triangles and rectangles. if you do this, you get 2 identical triangles and 2 different rectangles. one of the rectangles is 8 square cm, the other is 12. you can see that the base of each of the 2 triangles is 3 cm long. 2 halves=1 whole, so the 2 triangles turn into 1 rectangle. therefore, you have to add 12+12+8. That is 32 square centimeters.

Hope my answer helped!

Find the quotient of 1 1/4 and 3 1/2 express your answer in simplest form

Answers

Answer:

11/14

Step-by-step explanation:

11/4 / 3 1/2

3 1/2= 3*2+1= 6+1=7/2

11/4 * 2/7= 22/28

22/2=11

28/2= 14

11/14

11/14 is the answer! (Quotient in simplest form)

choose the correct answers !!!!!!!!!! Will mark Brianliest !!!!!!!!!! Please helppp !!!!!!!!!!!!!!!!

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Answer:

non the avibe

Step-by-step explanation:

xu x6y8z9vtgkxih 174374t6fivH tin s6d

Answer:

1,3, and 4

Step-by-step explanation:

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Answers

Answer:

-3.03

Step-by-step explanation:

12.95 - 15.98 = -3.03

Hope that helps!

Answer: 3.03

Step-by-step explanation:

I did it on a regular calculator if you need to do something like this again.

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Please give me Brainliest

On a certain hot summer day, 431 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled to $825.50. How many children and how many adults swam at the public pool that day?

Answers

Answer:

the no of children and no of adults swam that day is 73 and 358 respectively

Step-by-step explanation:

Let us assume the no of children and no of adults swam that day be x and y

Now as per the question

The following equations are

x + y = 431

we can write as

x = 431 - y

1.50x + 2y = $825.50

1.50(431 - y) + 2y = $825.50

646.50 - 1.50y + 2y = 825.50

0.5y = 179

y = 358

And x = 431 - 358

= 73

Hence, the no of children and no of adults swam that day is 73 and 358 respectively

which value of x is a solution to x³ = 216

A. 6
b.18
c.72
d.108
e.648

Answers

the answer is A. 6
6•6•6

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Answers

Answer: The 3rd option

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Plz make brainliest

correct answer is the 3rd option !

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Answers

9 x 6 = 54 so w= 54 .............

write an exponential function to describe the given sequence of numbers
2, 4, 8, 16, 32


the correct answer is HIGHLY appreciated, ill give brainliest if its *correct*​

Answers

Answer:

The next one is 64. Can you mark branliest if it's right?

Answer:

F(x) = x^1 * 2

Step-by-step explanation:

what is 5.2x10^2 in standard form

Answers

I think if your trying to answer it its
5.2 x 10^2 = 520

Explanation
5.2 x 10^2
= 5.2 x 100
= 520
If your trying to write it in standard form then um.

Question 17 of 20
Which of the following is a true statement about functions?

Answers

Answer:

D

Step-by-step explanation:

(f of g)(x), the composition of the function f with g is defined as follows: (f g)(x). = f(g(x))

the sum of two rational numbers is -8 1/4. if one of the numbers is -5 2/3, find the other number.

Answers

Answer:

  -2 7/12

Step-by-step explanation:

Let x represent the unknown number.

  x + (-5 2/3) = -8 1/4

Adding 5 2/3 to both sides of the equation tells us ...

  x = 5 2/3 -8 1/4 = -2 7/12

The other number is -2 7/12.

_____

The difference can be found as ...

  -(8 1/4 -5 2/3) = -(8 3/12 -5 8/12) = -((8 -5) +(3/12 -8/12)) = -(3 -5/12)

  = -(2 7/12)

ivy has opened a new bake shop in town, Ivy sells pies for 13$ and spends 1,103 in rent per month . How many pies does Ivy need to sell to make 1,146 in profits this month?

Answers

Answer:  She needs to sell exactly 173 pies.

Step-by-step explanation: Don't ask me how, but I'll tell you this 1. it wasn't easy and 2. It took me FOREVER. So conclusion- be happy.

what ratio is equivalent to 6 out of 15

Answers

Answer:

40%

Step-by-step explanation:

Answer:

2:5

Step-by-step explanation:

6/15 divided by 3/3 = 2/5

2/5 is the most simplified it can get

2:5

AYUDAAAA AYUDAAAA NO ME ACUERDOOOOO AYUDAAA
2+5(520)÷8

Answers

anade 2 mas 5 multiplicow por 520 dividido por 8

Answer:

327

Step-by-step explanation:

2+5x520 divide by 8

2+325=327

Pls give brianly if its correct?

Help on this question

Answers

Answer:

126 minutes, or 2.1 hours.

Step-by-step explanation:

Change 6 hours to minutes. (6x60=360)

Find 1% of 360 (360x0.01=3.6)

Multiply 3.6 to 20 (cleaning) and then multiply 3.6 to 15 (video games)

Then, add them, which you should get the answer of 126.

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