Question

A ladder is placed against a vertical tower. If the ladder makes an angle of 30° with the ground and reaches upto a height of 18 m of the tower; find length of the ladder.

Answer 1

Suppose the length of ladder is x m.
From the figure, we have

`(18)/x` = sin30°     ....`[∵ sin = "Perpendicular"/"Hypotenuse"]`

⇒ `(18)/x = (1)/(2)`
⇒ x = 36
Thus, the length of ladder is 36m.