Die runs 200 meters north, 500 meters west, and finally 150 meters at 30 degrees north of east. What is her total displacement?

Answer 1

North = 200 + 150 sin 30
West = 500 - 150 cos 30

Answer 2

North = 200 + 75 = 275
West = 500 - 130 = 370
distance = sqrt (275^2 + 370^2)
angle north of west = arc tan (275/370)

Answer 3

Thank you! That was very helpful.