A 39-foot ladder is leaning against the side of a building. If the ladder makes an angle of 24° 42' with the side of the building, how far is the bottom of the ladder from the base of the building?
Round your answer to the hundredths place.
A)22 ft
B)6.93 ft
C)17.6 ft
D)16.3 ft

Question

Quizplus · Accepted Answer

To find the distance from the bottom of the ladder to the base of the building, use the sine function: sin(24° 42') = opposite/hypotenuse. The opposite side is the distance from the base of the building, and the hypotenuse is the ladder length (39 ft). Solving for the opposite side gives approximately 16.3 ft.

A 39-Foot Ladder Is Leaning Against the Side of a Building