Question

A vertically straight tree, 15 m high , is broken by the wind in such a way that its top touch the ground and makes an angle of 30${}^{\circ }$ with the ground . At what height from the ground did the tree break?

Answer 1

Angle ($\theta$) is not given. Incomplete Question. Refer attached image, if angle is given, then height (x) can be determined using below formula:

$Sin\theta =\frac{x}{15-x}$

$Sin30=\frac{x}{15-x}$

$\frac{1}{\sqrt{2}}$ = $\frac{x}{15-x}$

X = $\frac{15}{\sqrt{2}+1}$