A treasure map instructs you to walk 34 m south, 117 m east, followed by 64.5 m north, and finally 28.5 east. Determine the magnitude of your total displacement in m.

Question

A treasure map instructs you to walk 34 m south,  117 m east, followed by 64.5 m north, and finally 28.5 east. Determine the magnitude of your total displacement in m.

Henry · Answer

Disp. = -34i + 117 + 64.5i + 28.5 = 145.5 + 30.5i. Magnitude = sqrt(145.5^2+30.5^2) =