Question

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30 ° with it. The distance between the foot of the tree to the point where the top touches the ground is 10m. Find the height of the tree.

Answer 1

let be the the height of tree is A'C=AC+BC

<B=90°

In ∆ABC,

tan30°=BC/10

BC=10/√3 . . . . . . (1)

again,

cos 30°=10/AC

AC=20/√3 . . . . (2)

A'C =(20/√3) +(10/√3)

=10√3 m