A ladder makes an angle of 60 degree with the ground when placed against a wall. If the foot of the ladder is 2m away from the wall, then the length (in meters) is?

Answer: 4

Explanation

In the figure, MN is the length of the ladder, which is placed against the wall AB and makes an angle of $60^{\circ}$ with the ground.
The foot of the ladder is at N, which is 2m away from the wall.
$∴ B N = 2 m$
In right-angled triangle MNB :
$c o s 60^{\circ} = \frac{B N}{M N} = \frac{2 m}{M N}$
$\Rightarrow \frac{1}{2} = \frac{2 m}{M N}$
$\Rightarrow M N = 4 m$
Therefore, the length of the ladder is 4m.