Question

A ladder leaning against a wall makes an angle of ${60}^{\circ }$ with the horizontal. If the foot of the ladder is $2.5$ m away from the wall, find the length of the ladder.

Answer 1

Let AC be a ladder, AB is the wall and BC is the ground as shown in the figure.

We know that

$cos{60}^o=\frac{BC}{AC}$

$\frac{1}{2}=\frac{2.5}{AC}$

$AC=5m$

Therefore, the length of ladder is $5m.$