Solve the problem.
-A 37-foot ladder is leaning against the side of a building. If the ladder makes an angle of 24° 16´ with the side of the building, how far up from the ground does the ladder make contact with
The building? Round your answer to the hundredths place when necessary.
A)36.89 ft
B)34.93 ft
C)33.73 ft
D)31.16 ft

Question

Quizplus · Accepted Answer

To find how far up the ladder reaches, we use the cosine of the angle, which gives us the adjacent side (height up the building) when divided by the hypotenuse (length of the ladder). Cos(24°16') = adjacent/37. Converting 16 minutes to decimal form: 16/60 = 0.2667. So, the angle is approximately 24.2667 degrees. Using cosine: cos(24.2667) = adjacent/37. Solving for adjacent gives: adjacent = 37 * cos(24.2667) ≈ 33.73 ft.

Solve the Problem. -A 37-Foot Ladder Is Leaning Against the Side of a Side