An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 39 steps at an angle 45 north of east, then 80 steps at an angle 60 north of west, then 51 steps due south. Assume his steps all have equal length. Save him from becoming hopelessly lost in the jungle by giving him the displacement, calculated using the method of components, that will return him to his hut.
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