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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.

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