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muminat
2 years ago
5

The roof leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high what is the leanth of t

he road to the top of the hill to the nearest hundredth
Mathematics
1 answer:
Tresset [83]2 years ago
7 0

Answer: 307.11\ ft

Step-by-step explanation:

Given

The height of hill is 120 ft and the angle of elevation is 23^{\circ}

Suppose the length of the road is x

From the figure, we can write

\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft

Thus, the length of the road is 307.11\ ft

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