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

2.3 m
4.6 m
7.8 m
9.2 m

Correct answer: 9.2 m

Solution

The foot of the ladder is 4.6 m from the wall, which is the adjacent side to the 60° angle. Using cos 60° = adjacent/hypotenuse = 4.6/L, we get L = 4.6/0.5 = 9.2 m.

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