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 plane is heading due south with an airspeed of $232 \mathrm { mph }$. A wind from a direction of $55 ^ { \circ }$ is blowing at $8 \mathrm { mph }$. Find the bearing of the plane.
A) $182 ^ { \circ }$
B) $177 ^ { \circ }$
C) $93 ^ { \circ }$
D) $88 ^ { \circ }$

Question

Quizplus · Accepted Answer

The resultant force's direction can be found by using vector addition and trigonometry. The wind's effect is to push the plane eastward while it aims south, resulting in a bearing slightly west of due south. Given the small magnitude of the wind compared to the plane's airspeed, the change in bearing will be slight, pointing towards $182^\circ$ as the most plausible answer, indicating a slight deviation west of due south.

Use the Parallelogram Rule to Find the Magnitude of the Resultant