Question

Given that Force 1 = 70 pounds and Force 2 = 120 pounds , find the angle between the forces if the magnitude of the resultant force is 90 pounds . Round answer to the nearest
degree.
70^2 + 120^2 + 2*70*120 cosθ = 90^2

cosθ = -2/3
θ = 131.8°


This makes sense, since if the two forces were separated by an acute angle, the resultant would be greater than either of them.

Think of the parallelogram involved.

Related Questions

Given that force 1=60 pounds and force 2=90 pounds, find the angle between the forces if the magnitu... Force 1= 65 pounds , Force 2=90 pounds find the angle between the forces? magnitude of the resul... Given that Force 1 = 70 pounds and Force 2 = 120 pounds , find the angle between the forces if the m... Given that Force 1 = 70 pounds and Force 2 = 120 pounds , find the angle between the forces if the m...