Question

Mr. Sanchez is pulling his luggage across the airport floor. He applies a 22-newton force to the handle of the bag when the bag makes a 72-degree angle with the floor. Find the magnitudes of the horizontal and vertical components of the force. Round your answers to the nearest tenth.

Answer 1

To find the horizontal and vertical components of the force, use the formulas Fx = F * cos(θ) and Fy = F * sin(θ) where F is the magnitude of the force and θ is the angle. The horizontal component is 8.6 N and the vertical component is 20.1 N.

Step-by-step explanation:

To find the magnitudes of the horizontal and vertical components of the force when Mr. Sanchez pulls his luggage, we can use trigonometry.

The horizontal component of the force is given by the formula Fx = F * cos(θ), where F is the magnitude of the force and θ is the angle. In this case, Fx = 22 N * cos(72°) = 8.6 N.

The vertical component of the force is given by Fy = F * sin(θ), so Fy = 22 N * sin(72°) = 20.1 N.