Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-Two forces of magnitude 25 pounds and 40 pounds act on an object. The force of $40 \mathrm { lb }$ acts along the positive $\mathrm { x }$ -axis, and the force of $25 \mathrm { lb }$ acts at an angle of $80 ^ { \circ }$ with the positive $x$ -axis. Find the direction and magnitude of the resultant force. Round the direction and magnitude to the nearest whole number.

A) Direction: $40 ^ { \circ }$ ; magnitude: $47 \mathrm { lb }$
B) Direction: $51 ^ { \circ }$ ; magnitude: $51 \mathrm { lb }$
C) Direction: 29°; magnitude: $51 \mathrm { lb }$
D) Direction: $4 ^ { \circ }$ ; magnitude: $65 \mathrm { lb }$