Triangles And Properties Of Triangle Question 11

Question: 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

Options:

A) $ 8.66m $

B) $ 15m $

C) $ 17.32m $

D) $ 25.98m $

Show Answer

Answer:

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 $