Solve the problem.
-A ramp leading to the entrance of a building is inclined upward at an angle of 6°. A suitcase is to be pulled up the ramp by a handle that makes an angle of 34° with the horizontal. How much force must be applied in the direction of the handle so that the component of the force parallel to the ramp is 50 lbs.?
A) 44.15 lbs
B) 59.98 lbs
C) -56.58 lbs
D) 55.90 lbs

Question

Quizplus · Accepted Answer

To find the force applied in the direction of the handle, we use the formula: F_parallel = F * cos(θ), where F_parallel is the component of the force parallel to the ramp, F is the force applied, and θ is the angle between the force and the ramp. Here, θ = 34° - 6° = 28°. Solving for F gives F = 50 / cos(28°) ≈ 59.98 lbs.

Solve the Problem. -A Ramp Leading to the Entrance of a Building Is