Question

A vertically straight tree, $15$m high is broken by the wind in such a way that it top just touches the ground and makes an angle of ${30}^0$ with the ground, at what height from the ground did the tree break?

Answer 1

Height of tree $=OB+AB=15m$

At point B tree has broken.

$\sin 30=\frac{OB}{AB}$

$AB=2OB$

$\therefore 30B=15$

$OB=5m$

$\therefore$, At $5m$ from ground, tree was token.