A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with the ground. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
We know that the total height of the tree

AB = AD+DC
In ∆DBC,
tan 30° = ![]()
= ![]()
![]()
---------(1)
Cos 30° = ![]()
= ![]()
![]()
h =![]()
Height of tree =
⇒ ![]()
⇒ ![]()
Height of tree = 8√3 m.