Exams › SSC CGL (Prelims) › General

A ladder leaning against a wall makes an angle of $60^\circ$ with the ground. If the foot of the ladder is 2.5 meters away from the wall, what is the length of the ladder?

1. 2.5 m
2. 4 m
3. 5 m
4. $5\sqrt{3}$ m

Correct answer: 5 m

Solution

The distance from the wall is the adjacent side, and the ladder is the hypotenuse. Since $\cos 60^\circ=\frac{\text{adjacent}}{\text{hypotenuse}}=\frac{2.5}{L}=\frac12$, we get $L=5$ m.

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