Given that Force 1 = 70 pounds and Force 2 = 90 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree.
A)134°
B)119°
C)127°
D)122°
E)114°

Question

Quizplus · Accepted Answer

Using the Law of Cosines, we can solve for the angle between the forces:

$140^2 = 70^2 + 90^2 - 2(70)(90)\cos	heta$

$19600 = 10100 - 12600\cos	heta$

$\cos	heta = \frac{-9500}{12600} = -0.75$

Taking the inverse cosine of -0.75 yields approximately 122 degrees. Therefore, the answer is D.

Given That Force 1 = 70 Pounds and Force 2