An ice skater skates 16.9 m southwest, then

Question

33.8 m east, and finally 50.7 m in a direction
50.9◦ north of east.
Find the magnitude of the displacement re-
quired to bring the skater back to her starting
point.
Answer in units of m

Answer 1

16.9m[225o]
33.8m[0o]
50.7m[50.9o]

X=16.9*cos225+33.8+50.7*cos50.9=53.8 m.
Y=16.9*sin225+0+50.7*sin50.9 = 27.4 m.

tan A = Y/X = 27.4/53.8 = 0.50921
A = 27o

D = X/cos A = 53.8/cos27 = 60.38 m.