Question

A tree of 14 m height is broken by the wind so that its top

touches the ground and makes an angle 60° with the ground. Find
the length of the broken part of the tree.

Answer 1

The answer is:

`(56 - 28 √(3) )m`

Explanation:

Let the broken part is (x) m

so other part is (14-x) m

`\sin(60) = (14 - x)/(x)`

`\sin(60) = ( √(3) )/(2)`

`= x = (56 - 28 √(3) )m`