A pilot flies her route in two straight-line segments. The displacement vector for the first segment has a magnitude of 257 km and a direction 30.0...

A pilot flies her route in two straight-line segments. The displacement vector for the first segment has a magnitude of 257 km and a direction 30.0° north of east. The displacement vector for the second segment has a magnitude of 168 km and a direction due west. The resultant displacement vector is = + and makes an angle θ with the direction due east.