Solve Applied Problems Involving Vectors
-The Magnitude and Direction of Two

Multiple Choice

Solve Applied Problems Involving Vectors
-The magnitude and direction of two forces acting on an object are 35 pounds, $\mathrm { N } 45 ^ { \circ } \mathrm { E }$ , and 55 pounds, $\mathrm { S } 30 ^ { \circ } \mathrm { E }$ , respectively. Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force.

A) $\mid \mathbf { F } \| = 57.04 ; \quad \theta = - 23.6 ^ { \circ }$
B) $\| \mathbf { F } \| = 65.19 ; \theta = - 7.5 ^ { \circ }$
C) $\mid \mathbf { F } \| = 43.30 ; \theta = 2.7 ^ { \circ }$
D) $| \mathbf { F } | = 49.17 ; \theta = - 11.3 ^ { \circ }$