Solve the Problem $90 \mathrm { lb }$ Acts on an Object at an Angle Of

Multiple Choice

Solve the problem.
-A force of $90 \mathrm { lb }$ acts on an object at an angle of $55 ^ { \circ }$ . A second force of $100 \mathrm { lb }$ acts on the object at an angle of $- 60 ^ { \circ }$ . Find the direction and magnitude of the resultant force.

A) $| \mathrm { F } | = 98.92 \mathrm { lb } , \theta = - 4.2 ^ { \circ }$
B) $| \mathrm { F } | \approx 102.43 \mathrm { lb } , \theta \approx - 7.2 ^ { \circ }$
C) $| \mathrm { F } | = 101.47 \mathrm { lb } , \theta \approx 7.2 ^ { \circ }$
D) $| \mathrm { F } | \approx 1.43 \mathrm { lb } , \theta = - 2 ^ { \circ }$