His first steps lead him to a point 30.4055 steps north and east of his hut.
His second steps lead him to a point 99.687 steps north and 9.5945 steps west of his hut.
His third steps lead him to a point 48.687 steps north and 9.5945 steps from his hut.
Therefore, his hut is d = sqrt(48.687^2 + 9.5945^2) = 49.623 steps at an angle of arctan(9.5945/49.623) = 10.94º east of south.
An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 43 steps at an angle 45north 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. 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?
2 answers
Thank you!! That helped a lot
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