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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?

 Nov 14, 2017
 #1
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Are you looking for distance or displacement?

 Nov 14, 2017
 #3
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thats theproblem i dont know. That is the whole problem.

Guest Nov 14, 2017
 #5
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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
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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.

 Nov 14, 2017
 #4
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thx that was correct i was wondering why i got it wrong.

Guest Nov 14, 2017

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