A vertical tower Stands on a horizontal plane and is surmounted by a vertical flag staff 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 tower is `(htanalpha)/(tanbeta - tanalpha)`

Explanation

To prove that the height of the tower \( H \) is given by the formula:

\[ H = \frac{h \tan \alpha}{\tan \beta - \tan \alpha} \]

where \( h \) is the height of the flagstaff, \( \alpha \) is the angle of elevation to the bottom of the flagstaff, and \( \beta \) is the angle of elevation to the top of the flagstaff, we can follow these steps:

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