Chapter 1, Problem 62AP

A pilot flies her route in two straight-line segments. The displacement vector  $\stackrel{\to }{A}$  for the first segment has a magnitude of 244 km and a direction 30.0° north of east. The displacement vector  $\stackrel{\to }{B}$  for the second segment has a magnitude of 175 km and a direction due west. The resultant displacement vector is  $\stackrel{\to }{R}=\stackrel{\to }{A}+\stackrel{\to }{B}$  and makes an angle θ with the direction due east. Using the component method, find the magnitude of  $\stackrel{\to }{R}$  and the directional angle θ.