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 wind has an easterly component of $8 \mathrm {~km} / \mathrm { h }$ and a northerly component of $12 \mathrm {~km} / \mathrm { h }$. Find the direction of the wind.
A) $33.7 ^ { \circ }$
B) $57.2 ^ { \circ }$
C) $56.3 ^ { \circ }$
D) $45 ^ { \circ }$

Question

Quizplus · Accepted Answer

The magnitude of the resultant force can be found using the Pythagorean theorem: $\sqrt{8^2 + 12^2} = \sqrt{64 + 144} = \sqrt{208} \approx 14.4 \, \text{km/h}$. The direction is given by $\tan^{-1}(\frac{12}{8}) \approx 56.3^\circ$.

Use the Parallelogram Rule to Find the Magnitude of the Resultant