Mimi walked 2 blocks north, then 8 blocks east, then 2 blocks north, and finally 2 blocks east to arrive at her destination.

Question

1. What angle does the line containing Mimi's starting point and destination make with a horizontal (that is, east-west) line?    

Answer 1

y = net north displacement = 2 + 2 = 4

x = net east displacement = 8 + 2 =10

θ = angle

 

θ = tan^-1(y/x) = tan^-1(4/10) ≅ 21.8°