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The ratio of the length of a rod and its shadow is 1: √3 .The angle of elevation of the sun is :
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- 30°
- 45°
- 60°
- 90°
Correct Option: A
Let us draw the figure from the given question.
Let, AB be the rod and AC be its shadow.
Let us assume the angle of elevation ∠ACB = θ.
According to given question,
AB : AC = 1 : √3
we know that ,
| In triangle ACB , tanθ = | AB |
| AC |
| ∴ tanθ | = | |
| √3 |
⇒ tanθ = tan30°
⇒ θ = 30°
Hence ,The angle of elevation of the sum is 30° .
