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If the length of the shadow on the groun...

If the length of the shadow on the ground of a post is `sqrt(3)` times of its height, the angle of elevation of the sun is

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

None of these

Text Solution

Verified by Experts

Let the angle of elevation of elevation of the sun is `theta` and AB is the post, the shadow of which is BC.
As per question, `BC = sqrt(3)` AB
Now, from the right-angled `delta`ABC we get,
`tan theta =(AB)/(BC)`
or, `tan theta = (AB)/(sqrt(3)AB) or, tan theta =(1)/(sqrt(3))`
or,` tan theta = tan30^(@) " "rArr theta =30^(@)`
Henc (a) is correct.
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