A: A boy runs 7.2 blocks North, 12.2 blocks Northeast, and 12.3 blocks West.

Question

Determine the length of the displacement vector that goes from the starting point to his final position.

B: Determine the direction of the displacement vector. Use counterclockwise as the positive angular direction, between the limits of −180◦ and +180◦ measured from East.
Answer in units ◦

Answer 1

North = 7.2 + 12.2 cos 45
West = 12.3 - 12.2 cos 45
answer = sqrt [ North^2 + West^2 ] blocks

Answer 2

answer is in northwest quadrant
tan angle = North/West, find angle which is above -x axis
subtract angle from 180