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

Answer: Option D

Solution

Answer: Option D

Solution:

Suppose AB is the ladder of length x m
∴ OA = 2m, ∠OAB = 60°

$$\begin{array}{rl}& \text{In right }\Delta AOB,\sec 60^{\circ }=\frac{x}{2}\\ & \Rightarrow 2=\frac{x}{2}\\ & \Rightarrow x=4m\end{array}$$