A plane flies 118 km at 15 degrees south of east and then flies 118 km at 35 degrees west of north. Find the magnitude and direction of the total displacement of the plane?

Answer 1

All angles are measured CCW from +x-axis.

D = 118km[345o] + 118[125o] =
114-30.5i + -67.7+96.7i = 46.3 + 66.2i = 80.8km[55o].