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 AB be the ladder leaning against a wall AC.




Then, $cos{60}^{\circ }=\frac{BC}{AB}$

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

$AB=2.5\times 2=5m$

$\therefore$ Length of ladder is 5m.