Question

A tree breaks due to the 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 from the foot of the tree to the point where the top touches the ground is 10 metres. Find the height of the tree.

Answer 1

In fig.BD is the height of the tree. Let the broken part touches the ground at point C 

BD = AB+AD 

in ∆ABC 

tan 30° = \(\frac{AB}{BC}\)

Therefore height of tree = (x + h) m. 

Adding eqn. (1) and (2) we get,

Therefore height of tree is 17.32 m.