Suppose you first walk A = 15.0 m in a direction ₁ = 18 west of north and then B = 28.5 m in a direction ₂ = 37.0 south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem finds their sum R = A + B.)

Answer:

distance = 24.6 m

direction = 6.02 --> 180 + 6.02 = 186.02 counter-clockwise with x-axis