Question

{{{Physics Problem}}}

An explorer in Antarctica leaves his shelter during a whiteout. He takes 39 steps northeast, then 83 steps at an angle 60∘∘ north of west, then 45 steps due south. Assume his steps all have equal length.

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

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

Answer 1

Let North direction be along y-axis and East be along x-axis. d_r be the displacement that he requires to return to his shelter.