Question

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

(a) 4/√3

(b) 4√3

(c) 2√2m

(d) 4m

Answer 1

.

Let AB be the wall and AC be the ladder.

We have,

BC = 2m and ∠ACB = 60°

In \(\triangle ABC,\)

\(cos60^\circ=\frac{BC}{AC}\)

\(\Rightarrow \frac{1}{2}=\frac{2}{AC}\)

∴ AC = 4m

Hence, the correct answer is option (d).