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Solution: 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, 90 ^circis east, 180 ^circis south, and 270 ^circ 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.

Problem

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 first part of the route is 147 kilometers in the direction of 85 degrees east of north. The second part of route is 106 kilometers long in the direction of 167 degrees east of north. The third part of the route is 166 kilometers long in the direction of 235 degrees east of north.. 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.