An Airplane Undergoes the Following Displacements, All at the Same $59.0 \mathrm {~km}$

Multiple Choice

An airplane undergoes the following displacements, all at the same altitude: First, it flies $59.0 \mathrm {~km}$ in a direction 30.0° east of north. Next, it flies $58.0 \mathrm {~km}$ due south. Finally, it flies $100 \mathrm {~km}$ 30.0° north of west. Use components to determine how far the airplane ends up from its starting point.

A) 71.5 km
B) 73.0 km
C) 74.4 km
D) 70.1 km
E) 68.7 km