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Find the angular elevation (angle of elevation from the ground

Question

Find the angular elevation (angle of elevation from the ground level) of the Sun when the length of the shadow of a $30$ m long pole is $103$ m.

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Text solutionVerified

Let

S

be the position of the Sun and

BC

be the pole.

Let

A B

denote the length of the shadow of the pole.

Let the angular elevation of the Sun be

θ

Given that

A B = 103 m

and

BC = 30

In the right

△ C A B, tan θ = \frac{BC}{A B} = \frac{30}{10 3} = \frac{3}{3}

\Rightarrow tan θ = 3

∴ θ = 6 0^{\circ}

Thus, the angular elevation of the Sun from the ground level is

6 0^{\circ}

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Question Text	Find the angular elevation (angle of elevation from the ground level) of the Sun when the length of the shadow of a $30$ m long pole is $103$ m.
Answer Type	Text solution:1
Upvotes	150