A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff 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. Then the height of the tower is:

Options

A. `(h tanbeta)/(tan beta + tan alpha)`
B. `(h tanbeta)/(tan beta - tan alpha)`
C. `(h tanalpha)/(tan beta - tan alpha)`
D. `(h tanalpha)/(tan beta + tan alpha)`

Answer

C