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PIT_PIT [208]
3 years ago
6

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the po

le?
Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}

So, the angle of elevation is 36.86 degrees.

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