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The angle of elevation of moon when the length of the shadow of a pole is equal to its height, is:
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- 30°
- 45°
- 60°
- None of these
Correct Option: B
Let us draw the figure from the given question.
Given :- The length of the shadow of a pole is equal to its height.
Let, Height of a pole AB = x.
Then, The length of the shadow of a pole AC = x.
| In triangle ACB , tanθ = | AB |
| AC |
| ∴ tanθ | = | x | = 1 | x |
⇒ tanθ = tan45°
⇒ θ = 45°
Hence ,The angle of elevation of moon is 45° .
