While walking on a plane surface, a traveler first headed 19 miles north, then 16 miles west, then 3 miles south and finally 4 miles east. How many miles from the starting point was the traveler after these four legs of the journey?

Guest Nov 14, 2017

#1

#5**+2 **

I assumed, based off of the wording, that this was based on displacement. The question is, "How many miles **from the starting point** was the traveler after completing these 4 legs of the journey"

helperid1839321
Nov 14, 2017

#2**+2 **

I'm assuming this is absolute distance, not distance traveled on foot.

19 - 3 = 16

16 - 4 = 12

\(\sqrt{16^{2} + 12^{2}} = \sqrt{256 + 144} = \sqrt{400} =20\)

He moved an overall of 20 miles from the starting point.

helperid1839321 Nov 14, 2017