A hiker walks 250 meters at 40 degrees south of west and then goes 500 meters due north. What displacement vector will get the hiker back to where he started?

Answer 1

where was hiker at?
west dist 250 cos 40 = 192
north dist = 500 - 259 sin 40 = 333.5
so must go 333.5 south and 192 east
angle south of east = arc tan (333.5 / 192)