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When the length of the shadow of a pole is equal to the height

Question

When the length of the shadow of a pole is equal to the height of the pole, the angle of elevation of the Sun has measure of ................

30^{o}

45^{o}

60^{o}

75^{o}

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When the length of the shadow of a pole is equal to the height of the pole, the angle of elevation of the Sun has measure of ................

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Text solutionVerified

Let

A B = h

be the height of the pole.

The shadow of a pole will form base

BC

Let

θ

be the angle of elevation.

According to the fig.

tan θ = \frac{A B}{BC}

⟹ tan θ = \frac{h}{h} = 1

⟹ θ = tan^{- 1} (1)

⟹ θ = 4 5^{o}

Hence, the angle elevation is

4 5^{o}

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Question Text	When the length of the shadow of a pole is equal to the height of the pole, the angle of elevation of the Sun has measure of ................
Answer Type	Text solution:1
Upvotes	151