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Mathematics Question on Angles

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is a. After walking a distance d towards the foot of the tower, the angle of elevation is found to be B. Then the height of the tower is

A

dtan a−tan ẞ\frac{d}{tan\,a-tan\,ẞ}

B

d(cot a−cot B)d(cot\,a-cot\,B)

C

dcot a−cot ẞ\frac{d}{cot\,a-cot\,ẞ}

D

d(tan a−tan ẞ)d(tan\,a-tan\,ẞ)

Answer

dcot a−cot ẞ\frac{d}{cot\,a-cot\,ẞ}

Explanation

Solution

The correct option is (C): dcot a−cot ẞ\frac{d}{cot\,a-cot\,ẞ}