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 60° with the ground. At what height from the ground did the tree break?

Answer 1

Let be the tree of desired height x m and tree is broken by wind then tree makes an angle . Let AC=15 − x

Here we have to find height x

So we use trigonometric ratios.

In a triangle,

Hence the height of tree is m.