A man in search of his dog drives first 10 mi northeast, then 12 mi straight south, and finally 8 mi in a direction 30 degree north of west . What are the magnitude and direction of his resultant displacement?

Answer 1

All angles are measured CCW from +x-axis.

D = 10[45o] - 12i + 8[150o].
D = 7.07 + 7.07i - 12i - 6.93 + 4i = 0.14 - 0.93i = 0.94mi[-81.4] = 0.94mi[278.6o].

Answer 2

thanks a lot

sir.