Question

(a) A tall tree of height 60m is broken due to the strong wind. If the upper 40m

broken part of the tree touches the level ground, calculate the angle made by the
broken part with the horizontal line. Also calculate the horizontal distance
between the bottom of the tree and the point at which the broken part of the
tree touches the ground level.
​

Answer 1

The angle is 30° and the horizontal line is 23.094 m.

Explanation:

The angle (x):

`\sin(x) = 20 / 40`

`\sin(x) = 0.5`

`x = { \sin }^( - 1) (0.5)`

`x = 30`

The horizontal line (y):

`\cos(30) = 20 / y`

`y \cos(30) = 20`

`y = 20 / \cos(30)`

`y = 23.094`