Question 340417: Eric is piloting a hot air balloon and drifted 12 miles north,,9 miles west,22 miles south, 3 miles east, and 5 miles south.How many miles does Eric need to turn N,E,S,W to return back to his landing site?
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Let North be positive y, South negative y.
Let East be positive x, West negative x.
Eric starts at (0,0).
12 miles N: (0,0)+(0,12)=(0,12)
9 miles W:(0,12)+(-9,0)=(-9,12)
22 miles S:(-9,12)+(0,-22)=(-9,-10)
3 miles E:(-9,-10)+(3,0)=(-6,-10)
5 miles S:(-6,-10)+(0,-5)=(-6,-15)
In otder to return to his starting point,
(-6,-15)+(X,Y)=(0,0)
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X=6 miles East
Y=15 miles North
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