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Butoxors [25]
4 years ago
11

A board is leaning against a vertical wall, The board makes a 62 degree angle with the ground and touches the wall at a point th

at is 45 in, above the ground. What is the length of the board, rounded to the nearest inch?

Mathematics
2 answers:
Korvikt [17]4 years ago
7 0
<span><span><span>Angle A = </span>62°
</span><span><span>Angle B = </span>90°
</span><span><span>Side a = </span><span>45
The length of the board is side b

</span></span></span><span><span>Use the Law of Sines to find side b.</span><span> 
b / sin(B) = a / sin(A)</span><span> 
b / sin(90°) = 45 / sin(62°)</span><span> 
b = (sin(90°) x 45) / sin(62°)</span><span> 
b = 50.966

Rounded to the nearest inch is 51 inches.

Hope this helps!</span></span>
olya-2409 [2.1K]4 years ago
7 0

Answer:

Option C. 51 in.

Step-by-step explanation:

In the given right angle triangle height is given as 45 in. above the ground.

Length of the board is making an angle of 62°with the ground.

Therefore by sine rule

sin 62° = height / hypotenuse

sin 62° = 45/h

0.8829 = 45/h

h = 45/0.8829 = 50.96 ≈ 51 in.

Therefore option C. 51 in. is the answer.

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