An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 3

Question

An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 38 steps at an angle 45^circ north of east, then 81 steps at an angle 60^circ 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. What is the magnitude of the displacement that will return the explorer to his hut? What is the direction of the displacement that will return the explorer to his hut?

Explanation / Answer

in north=38cos45+81sin60-51=46 west=81 cos60-38sin45=13.63 net distance=48 steps at angle=16.5 east of south

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