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As seen from the top of fort of height a...

As seen from the top of fort of height `a` metre the angle of depression of the upper and the lower end of a lamp post are `alpha` and `beta`, respectively. The height of the lamp post is :

A

`(a sin (alpha + beta))/(sin alpha . cos beta)`

B

`(a cos (beta + alpha))/(cos alpha . sin beta)`

C

`(a sin (alpha - beta))/(cos alpha . sin beta)`

D

`(a sin (beta - alpha))/(sin alpha . cos beta)`

Text Solution

Verified by Experts

The correct Answer is:
C
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