2. 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 8 m. Find the height of the tree.
Suppose DB is a tree and the AD is the broken height of the tree which touches the ground at C.
, BC = 8 m
let AB = m and AD = m
So, AD+AB = DB =
In right angle triangle ,
So, the value of =
the value of is
So, the total height of the tree is-
= 8 (1.732) = 13.856 m (approx)