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svet-max [94.6K]
3 years ago
10

A person is standing 50 yards from the base of a building. The angle of elevation from the person to the top of the building is

25-degrees. How tall is the building?

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

The height of the building is H = 11.65 yards

Step-by-step explanation:

Distance from the base of the building to the person = 50 yards

Angle of elevation = 25°

From Δ ABC

⇒ \tan 25 = \frac{H}{25}

⇒ H = 25 \tan 25

⇒ H = 11.65 yards

Therefore  the height of the building is H = 11.65 yards

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Question 27 <br> Find the length of the hypotenuse. Leave answer in simplest radical form.
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Use SOHCAHTOA.  Since we are looking for the hypotenuse, you must use sine or cosine.  Since, we are given the adjacent side, use cosine.

cosx=a/h

cos45=8/h

√2/2=8/h

<em>*Cross multiply*</em>

h√2=16

<em>*Divide both sides by √2*</em>

h=16/√2

<em>*Multiply by √2/√2*</em>

h=(16√2)/2

<em>*Simplify the fraction*</em>

h=8√2

Hope this helps!!

6 0
4 years ago
A person wants to grow potatoes in his backyard. His backyard plot is 60ft by 60 ft and he can plant 2 potatoes for every square
Fantom [35]

Answer:

1800 potatoes

Step-by-step explanation:

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3600/2=1800

8 0
3 years ago
What is the factored form of 125a6-64?
iogann1982 [59]

Answer:

(5a^2-4)*(25a^4+20a^2+16)

Step-by-step explanation:

7 0
3 years ago
Compound Inequalities <br> (Help)
sladkih [1.3K]
- 8x + 44 ≥ 60
- 8x ≥ 60 - 44
- 8x ≥ 16
x ≤ - 2

- 4x + 50 < 58
- 4x < 58 - 50
- 4x < 8
x > - 2

Now put the two together. Logically, these two answers since a number cannot be both less than AND greater than - 2. 

Your answer should be no solution. 
5 0
3 years ago
a rectangular frame has a length of 3 and 1/8 feet and an area of 2 and 3/4 feet.what is the width,w, feet,of the fame? please a
Galina-37 [17]
If you would like to find the width of the frame in feet, you can do this using the following steps:

length * width = area
3 1/8 feet * width = 2 3/4 square feet
25/8 feet * width = 11/4 square feet
25/8 * width = 11/4
width = 11/4 / 25/8
width = 11/4 * 8/25
width = 22/25 = 0.88 feet

The correct result would be 22/25 feet.
5 0
3 years ago
Read 2 more answers
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