When the length of the shadow of a pole is equal to its height, then the angle of elevation of source of light is

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45 °

60 °

30 °

90 °

answer is B.

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Detailed Solution

Given that the length of the shadow of a pole is equal to its height.
The height of the pole and the length of its shadow are equal.
We know,

tanθ = \frac{Perpendicular}{Base}

\tan 45 ° = 1

Therefore,

tan θ = Height of pole Length of shadow of pole ⇒ tan θ = 1 ⇒ θ = tan − 1 (1) ⇒ 0 = 45 °

If the height of a pole and the length of its shadow are equal, the angle of elevation of the source of light is

45 °

.
Therefore, option 2 is correct.

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