# Problem: An explorer in Antarctica leaves his shelter during a whiteout. He takes 37 steps northeast, then 86 steps at an angle 60 north of west, then 46 steps due south. Assume his steps all have equal length.What is the magnitude of the displacement that will return the explorer to his shelter?What is the direction of the displacement that will return the explorer to his shelter?Select the correct diagram, roughly to scale, of the three vectors and their resultant.

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###### Problem Details

An explorer in Antarctica leaves his shelter during a whiteout. He takes 37 steps northeast, then 86 steps at an angle 60 north of west, then 46 steps due south. Assume his steps all have equal length.

What is the magnitude of the displacement that will return the explorer to his shelter?

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

Select the correct diagram, roughly to scale, of the three vectors and their resultant.