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.