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

The angle of elevation of the top of a vertical tower from a point P on the horizontal ground was observed to be `alpha`. After moving a distance 2 meters from P towards the foot of the tower, the angle of elevation changes to `beta`. Then the height (in meters) of the tower is :

A

`(2sin alpha sin beta)/(sin(beta-alpha))`

B

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

C

`(2sin(beta-alpha))/(sin alpha sin beta)`

D

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

Text Solution

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The correct Answer is:
A
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