Imagine that the y-axis points north and the x-axis points east.

(a) If you travel a distance r = 22 km in a straight line from the origin in
a direction 35 degrees south of west, what is your position in Cartesian
(x,y) coordinates?

(b) If you travel 6 miles due south from the origin and then turn west
and travel 2 miles, how far from the origin and in what direction is your
final position?