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On a training flight, a student pilot flies from Lincoln, Nebraska to Clarinda, Iowa, then to St. Joseph, Missouri, and then to Manhattan, Kansas . The directions are shown relative to north: 0 0 90 90 180 180 270 270 is north, is east, is south, and is west.
Use the method of components to find the distance she has to fly from Manhattan to get back to Lincoln.
Find the direction (relative to north) she must fly to get there.