question_answer

The upper part of a tree broken over by the wind makes an angle of \[30{}^\circ \] 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) \[8.66m\]

B) \[15m\]

C) \[17.32m\]

D) \[25.98m\]

Correct Answer: C

Solution :

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