Question

A ladder makes an angle ${30}^{\circ }$ with the floor and its lower end is $12m$ away from the wall. Find the length of the ladder

Answer 1

Let ${}^{\prime }{l}^{\prime }$ is the length of the ladder.

Now, In $△ACB$

$\Rightarrow \cos 30°=\frac{BC}{AC}=\frac{12}{l}$

$\Rightarrow l=\frac{12}{\cos 30°}=\frac{12\times 2}{\sqrt{3}}$

$\Rightarrow l=13.85m.$

Hence, the answer is $13.85m.$