Solve the problem.
-Two forces of 425 newtons and 267 newtons act at a point. The resultant force is 507 newtons. Find the angle between the forces.
A)52.7°
B)88.7°
C)91.3°
D)163.7°

Question

Quizplus · Accepted Answer

The angle between the forces can be found using the law of cosines: $c^2 = a^2 + b^2 - 2ab\cos(\theta)$, where $c$ is the resultant force, and $a$ and $b$ are the magnitudes of the two forces. Rearranging for $\cos(\theta)$ gives $\cos(\theta) = \frac{a^2 + b^2 - c^2}{2ab}$. Substituting $a = 425$, $b = 267$, and $c = 507$ into the equation and solving for $\theta$ yields an angle of approximately 88.7°.

Solve the Problem. -Two Forces of 425 Newtons and 267 Newtons Act at Newtons