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 flagstaff are α and β, respectively. Prove that the height of the tower is
According to question
Here h is the height of flagstaff AD.
Let is the height of the tower
and be the angle of elevation of the bottom and the top of the flagstaff.
equate equation (1) and (2) we get
[by cross multiplication]