Given that Force 1 = 55 pounds and Force 2 = 130 pounds,find the angle between the forces if the magnitude of the resultant force is 120 pounds.Round your answer to the nearest degree.
A)72°
B)59°
C)67°
D)79°
E)64°

Question

Given that Force 1 = 55 pounds and Force 2 = 130 pounds,find the angle between the forces if the magnitude of the resultant force is 120 pounds.Round your answer to the nearest degree. ​
A)72°
B)59°
C)67°
D)79°
E)64°

Quizplus · Accepted Answer

Let's assume the angle between the forces is θ.
Using the law of cosines, we have:
(120)^2 = (55)^2 + (130)^2 - 2(55)(130)cosθ
cosθ = (55^2 + 130^2 - 120^2) / 2(55)(130)
cosθ = 0.741
θ = cos^-1(0.741) ≈ 67° (rounded to the nearest degree)

Given That Force 1 = 55 Pounds and Force 2