Solve the all parts of following question:
Question: A spelunker is surveying a cave. She follows a passage 180m straight west, then 290m in a direction 45 degree east of south, and then 280 m at 30 degree 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.
Part B: Determine the direction of the fourth displacement.
Rework your solution from the beginning and check each step carefully express your answer using two significant figures.