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The angles of elevation of a cliff at a ...

The angles of elevation of a cliff at a point A on the ground and at a point B 100 mt vertically above A are `alpha` are `beta` respectively.The height of the cliff in metres is

A

`(100 cot alpha )/(cot alpha - cot beta)`

B

`(100 cot beta)/(cot alpha - cot beta)`

C

`(100 cot beta)/(cot beta-cot alpha )`

D

`(100 cot beta)/(cot beta+ cot alpha )`

Text Solution

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The correct Answer is:
C
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