(Q16) An observer of height 1.8 m is 13.2 m away from a palm tree. The angle of elevation of the top of the tree from his eyes is 45o. What is the height of the palm tree?

Solution :

Height of the observer = 1.8 m

Distance of the observer from the palm tree = 13.2 m

x1.8m1.8m13.2m13.2m45o

From the figure

tan ° =
x
=
x

x =

∴ Height of the palm tree = + = m.