Question

A ladder is placed against a vertical tower. If the ladder makes an angle of ${30}^{\circ }$ with the ground and reaches upto a height of $15m$ of the tower; find length of the ladder.

Answer 1

$\Rightarrow$ Here, $AB$ is the length of ladder.

$\Rightarrow$ $\angle ABC={30}^o$ and $AC=15m$

$\Rightarrow$ $\sin {30}^o=\frac{AC}{AB}$

$\Rightarrow$ $\frac{1}{2}=\frac{15}{AB}$

$\therefore$ $AB=15\times 2$

$\therefore$ $AB=30m$

$\therefore$ Length of the ladder is $30m$