# The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

A. 2.3 m B. 4.6 m C. 7.8 m D. 9.2 m**Answer: Option D**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}\text{Let AB be the wall and BC be the ladder.}\\
\angle\mathrm{ACB}=60^{\circ}\text{ and }\mathrm{AC}=4.6\mathrm{~m}\\
\frac{\mathrm{AC}}{\mathrm{BC}}=\cos 60^{\circ}=\frac{1}{2} \\
\Rightarrow \mathrm{BC}=2 \times \mathrm{AC} \\
=(2 \times 4.6) \mathrm{m} \\
=9.2 \mathrm{~m}
\end{array}$