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The angle of elevation of top of a chimn...

The angle of elevation of top of a chimney from a point on ground is `30^(@)`. After walking 50 metre towards chimney angle becomes `60^(@)`. Then height of chimney is :-

A

`25 m`

B

`25 sqrt(3) m`

C

`25 sqrt(2) m`

D

`20 m`

Text Solution

Verified by Experts

The correct Answer is:
B

`In Delta ABC`
`tan 30^(@) = h/(x+50)`
`sqrt(3) h = x+50` ……(i)
In `Delta ABD`
`tan 60^(@) = h//x`
`h= sqrt(3)x`……..(2)
form (1) and (2)
`h = 25sqrt(3)`.
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