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A building stands on a horizontal plane ...

A building stands on a horizontal plane and is surmounted by a vertical flag-stagg of height h. At a point on the plane, the angles of elevation of the bottom and the top of the flag-staff are `alpha and beta` respectively. Prove that the height of the building is `(h tan alpha)/(tan beta-tan alpha)`

Text Solution

Verified by Experts

The correct Answer is:
`( h tan alpha)/(tan beta- tan alpha)`
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Knowledge Check

  • The angle of elevation of the top of a tower from a point P on the ground is alpha . After walking a distance of d m towards the foot of the tower, the angle of elevation of the top of the tower is found to be beta . Then, ………..holds good.

    A
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    B
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    C
    `alpha = beta`
    D
    none of these

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