A spelunker is surveying a cave. She follows a passage that takes her a distance 176 m straight west, then a distance 219 m in a direction 45.0 ∘ east of south, then a distance 281 m at 30.0 ∘ east of north. After a fourth unmeasured displacement she finds herself back where she started. Use the method of components to determine the magnitude of the fourth displacement.

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A spelunker is surveying a cave. She follows a passage that takes her a distance 176 m straight west, then a distance 219 m in a direction 45.0 ∘ east of south, then a distance 281 m at 30.0 ∘ east of north. After a fourth unmeasured displacement she finds herself back where she started. Use the method of components to determine the magnitude of the fourth displacement.

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