A man in a maze makes 3 consecutive displacements. His first displacement is 5.40m westward, and the second is 18.0m northward. At the end of his displacement he is back to where he started. Use the graphical method to find the magnitude and direction of his third displacement.

Answer 1

d=sqrt(5.4²+18²)=18.8 m
tan α=18/5.4=3.33
α=73.3° (south from east)