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 15 m of the tower; find length of the ladder.

Answer 1

Given that the ladder makes an angle of 30° with the ground and reaches up to a height of 15 m of the tower which is shown in the figure below:

Suppose the length of the ladder is x m

From the figure

`(15)/x` = sin 30°    ...`[because "Perp."/"Hypot." = "sin"]`

`(15)/x = (1)/(2)`

x = 30 m

Therefore the length of the ladder is 30 m.