# 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

A. $\frac{4}{\sqrt{3}}$ B. $4 \sqrt{3}$ C. $2 \sqrt{2}$ D. 4 Answer: Option D
Suppose AB is the ladder of length x m $\begin{array}{l}\therefore\mathrm{\text{QR}}=2\mathrm{~m},\ \angle\mathrm{PQR}=60^{\circ}\\ \text{In right}\ \triangle\text{PQR,}\\ \sec60^{\circ}=\frac{x}{2}\\ \Rightarrow2=\frac{x}{2}\\ \Rightarrow x=4\text{m}\end{array}$