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 relationcos 60° = base / hypotenuse = 4.6 / LL = 4.6 / cos 60° = 4.6 / 0.5 = 9.2 m