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The angle of elevation of the top of a h...

The angle of elevation of the top of a hill from a point is `alpha`. After walking b metres towards the top up of a slope inclined at an angle `beta` to the horizon, the angle of elevation of the top becomes `gamma`. Then , the height of the hill is

A

`(b sin alpha sin (gamma-beta))/(sin(gamma-alpha))`

B

`(b sin alpha sin (gamma-alpha))/(sin(gamma-beta))`

C

`(b sin(gamma-beta))/(sin(gamma-alpha))`

D

`(b sin(gamma-beta))/(sin alpha sin(gamma-alpha))`

Text Solution

Verified by Experts

The correct Answer is:
A
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