A delivery truck travels 21 blocks north, 17 blocks east, and 27 blocks south.

What is its final displacement from the origin (direction)?

1 answer

went 21 - 27 = -6 blocks north
went 17 east

magnitude = sqrt (17^2 + 6^2)

tangent of angle south of east = 6/17

angle clockwise from north (compass bearing from origin) = 90 + tan^-1(6/17)