1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
9

Timelimit: 15 minutes. 11:08 remaining, x A radio tower is located 250 feet from a building. From a window in the building, a pe

rson determines that the angle of elevation to the top of the tower is 38 and that the angle of depression to the bottom of the tower is 27. How tall is the tower? Preview feet Points possible: 1 This is attempt 1 of 1. Submit

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

Answer:

The height of tower is 322.7 feet.

Step-by-step explanation:

Given

Distance between a building and tower= 250 feet

BCDE is a rectangle .Therefore, we have  BC=ED and CD=BE=250 feet

In triangle ABE

tan\theta=\frac{perpendicula \; side }{hypotenuse}

\theta=38^{\circ}

tan38^{\circ}=\frac{AB}{BE}

\frac{AB}{250}=0.781

AB=0.781\times250

AB=195.25 feet

In triangle EDC

\theta=27^{\circ}

tan27^{\circ}=\frac{ED}{CD}

\frac{ED}{250}=0.509

ED=250\times0.509

ED=127.25 feet

ED=BC=127.25 feet

The height of tower=AB+BC

The height of tower=195.25+127.25=322.5 feet

You might be interested in
What is the Lcm of 2 and 7
wel

Answer:

14

Step-by-step explanation:

The least common multiple is a number that both numbers can multiply something to get to, and the smallest possible common one.

Let's try listing out the multiples of 2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

And the multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70

Notice that both have the number 14 in common, and it is the first number that they do so.  There are lots of other multiples that they have in common too, but 14 is the least.

5 0
3 years ago
Trinity collects rainwater in a cylinder rain barrel. The area of the base of the
Fittoniya [83]

Answer:

suggestions use algebra calculator or mathaway they will help u and give you the answer

8 0
2 years ago
I DONT GET THIS: What is the Domain and Range of the function in context?
Anettt [7]

Answer:

c

Step-by-step explanation:

the domain is every possible input value and the range is every possible output value. since the outputs are all positive, the range is equal to all real numbers. and since the graph starts at 1,000, the domain is greater than or equal to 1,000

6 0
2 years ago
4/x-7=7/x+6<br><br> What is x
marissa [1.9K]

Answer:

21

Step-by-step explanation:

4x + 24 = 7x - 49  \\ then \: collect \: the \: same \: variable \\ 4x - 7x =  - 49 - 24 \\ x =  - 63 \div  - 3 = 21

6 0
3 years ago
The ___<br> is the variable that determines the value of the output in a function
Ivan

Answer:

Step-by-step explanation:

تغخممقدز لغه فغر للغاز

4 0
3 years ago
Other questions:
  • Is a plane a one dimensional figure
    13·1 answer
  • Alison bought 12 shares in The Toy Company when it cost $27. She is planning on selling her shares and they currently cost $39.5
    9·2 answers
  • I need help please explain and show work
    9·1 answer
  • Evaluate: (4 + 6 ⋅<br> 3) + 3<br><br> 16<br><br> 66<br><br> 33<br><br> 25
    10·1 answer
  • Shawna says her mug holds 100 milliliters. She’ll says that the mug holds 1 liter. Is Shelly correct?
    11·2 answers
  • Is 8.25 less than 8.250
    6·1 answer
  • 12x² + 2x² – 30x – 5
    13·1 answer
  • PLEASE HELP FAST!! <br>1. Find x. Show your work.​
    7·1 answer
  • What is the explicit formula for the sequence below?<br><br> 4, -12, 36, -108 ...
    6·1 answer
  • The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!