question_answer

The upper part of a tree broken over by the wind makes an angle of\[{{30}^{o}}\]with the ground and the distance from the root to the point where the top of the tree touches the ground is 10 m; what was the height of the tree

A) 8.66 m

B) 15 m

C) 17.32 m

D) 25.98 m

Correct Answer: C

Solution :

Height of tree is \[AB+AC=\frac{10}{\sqrt{3}}+\frac{20}{\sqrt{3}}=\frac{30}{\sqrt{3}}=10\sqrt{3}=17.32\,m\]