A spelunker is surveying a cave. She follows a passage 170 m straight west, then 290 m in a direction 45∘ east of south, and then 280 m at 30∘ east of north. After a fourth unmeasured displacement, she finds herself back where she started. part a:Use a scale drawing to determine the magnitude of the fourth displacement.
Express your answer in meters.

part b:Determine the direction of the fourth displacement.
Express your answer in degrees.