Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.
-A box weighing $77 \mathrm { lb }$ is hanging from the end of a rope. The box is pulled sideways by a horizontal rope with a force of $28 \mathrm { lb }$. What angle, to the nearest degree, does the first rope make with the vertical?
A) $10 ^ { \circ }$
B) $20 ^ { \circ }$
C) $30 ^ { \circ }$
D) $40 ^ { \circ }$

Question

Quizplus · Accepted Answer

The angle can be found using the tangent function, where $\tan(\theta) = \frac{opposite}{adjacent}$ = \frac{28}{77}. Solving for $\theta$ gives an angle close to 20 degrees.

Use the Parallelogram Rule to Find the Magnitude of the Resultant