A treasure map instructs you to walk 27 m south, followed by 70 m east, then 64.5 m north, and finally 28.5 m east. Determine the magnitude of your total displacement, if you follow these instructions. Calculate the answer in meters (m) and rounded to three significant figures.

Question

A treasure map instructs you to walk 27 m south, followed by 70 m east, then 64.5 m north, and finally 28.5 m east.  Determine the magnitude of your total displacement, if you follow these instructions.  Calculate the answer in meters (m) and rounded to three significant figures.

Henry · Answer

D=-27i + 70 + 64.5i + 28.5=98.5 + 37.5i D = sqrt(98.5^2 + 37.5^2) =

Anonymous · Answer

35.3 steps at 21.5 degrees south of west