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Problem: A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km southeast, and then an additional distance in an unknown direction. Her final position is 5.80 km directly east of the starting point .(a) Find the magnitude of the third leg of the journey.(b) Find the direction of the third leg of the journey.

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A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km southeast, and then an additional distance in an unknown direction. Her final position is 5.80 km directly east of the starting point .
(a) Find the magnitude of the third leg of the journey.
(b) Find the direction of the third leg of the journey.

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Based on our data, we think this problem is relevant for Professor Ford's class at TAMU.