Q. An explorer in dense jungles of equatorial Africa leaves his hut. He takes 41 steps at an angle 45 north of east, then 81 steps at an angle 60 north of west, then 51 steps due south. Suppose his steps all have equal length. Save him from becoming hopelessly lost in jungle by giving him the displacement, calculated using the way of components that will return him to his hut.

What is the direction of the displacement that will return explorer to his hut?

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