A traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 m straight west, then 210 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. Draw the diagram following her path, then solve for the magnitude and direction of the fourth displacement. You may also try drawing a scale diagram of the given vectors using your ruler and protractor, then measure the fourth displacement to check your quantitative answer.

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A traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 m
straight west, then 210 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. Draw the
diagram following her path, then solve for the magnitude and direction of the fourth
displacement. You may also try drawing a scale diagram of the given vectors using your ruler and
protractor, then measure the fourth displacement to check your quantitative answer.

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