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:

Q: 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:

Given Angle between ladder and ground = 60°. Distance of foot from wall (base) = 4.6 m. Right-triangle relation cos 60° = base / hypotenuse = 4.6 / LL = 4.6 / cos 60° = 4.6 / 0.5 = 9.2 m

Difficulty: Easy

8.0 m
9.2 m
9.6 m
10.0 m

Correct Answer: 9.2 m

Explanation:

Given

Angle between ladder and ground = 60°.
Distance of foot from wall (base) = 4.6 m.

Right-triangle relation
cos 60° = base / hypotenuse = 4.6 / LL = 4.6 / cos 60° = 4.6 / 0.5 = 9.2 m

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