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If the ratio of the height of a telephone pole and the length of its shadow is $3 : 1$ , then what will be the angle of elevation of the sun?

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30 °

60 °

65 °

70 °

answer is B.

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Detailed Solution

Given that,
A ratio of the height of the telephone pole and length of the shadow =

3 : 1

θ

= the angle of elevation of the sun
We draw a diagram showing the telephone pole and length of the shadow,
Question Image

The angle of elevation be

θ

tan θ = Perpendicular Base

⇒ tan θ = 31

⇒ θ = tan − 1 3 ⇒ θ = π 3 ⇒ θ = 60 ∘

Thus the angle of elevation of the sun will be

60 °

.
Therefore the correct option is 2.

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