Question

A ladder makes an angle of 60º 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

पर्याय

• \[\frac{4}{\sqrt{3}}\]

• \[4\sqrt{3}\]

• \[2\sqrt{2}\]

• \[4\]

Answer 1

Suppose AC is the ladder and BC is the distance of the foot of the ladder from the wall.
It is given that, BC = 2 m and \[\angle\]ACB = 60°.

In right ∆ABC, 

\[\cos60° = \frac{BC}{AC}\]
\[ \Rightarrow \frac{1}{2} = \frac{2}{AC}\]
\[ \Rightarrow AC = 4 m\]