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The angle of elevation of the sun when the length of the shadow of a pole is √3 times the height of the pole will be :
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- 30°
- 60°
- 90°
- 45°
Correct Option: A
Let us draw the figure from the given question.
Given, AC = √3 AB ......... ( 1 )
and ∠BCA = θ .
In triangle ACB , we have
∴ | cot θ = | AC | = √3 | ⇒ | tan θ = | 1 | [ From equation ( 1 ) ] |
AB | √3 |
⇒ tan θ = tan 30° ⇒ | θ | = | 30°. |
