Hence, the height of the tower is m.
Question: 8
A vertical tower stands on a horizontal plane and is
surmounted by a vertical flag staff of height . At a
point on the plane, the angles of elevation of the
bottom and the top of the flag staff are and ,
respectively. Prove that the height of the tower is
.
htan
tan tan
Solution
Let MN be a tower of height and LM be a flag staff
of height .
The angles of elevation of the bottom and the top of
the flag staff are and , respectively.