document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #243930 by Fombitz(32388) You can put this solution on YOUR website! Let North be positive y, South negative y. \n" ); document.write( "Let East be positive x, West negative x. \n" ); document.write( "Eric starts at (0,0). \n" ); document.write( "12 miles N: (0,0)+(0,12)=(0,12) \n" ); document.write( "9 miles W:(0,12)+(-9,0)=(-9,12) \n" ); document.write( "22 miles S:(-9,12)+(0,-22)=(-9,-10) \n" ); document.write( "3 miles E:(-9,-10)+(3,0)=(-6,-10) \n" ); document.write( "5 miles S:(-6,-10)+(0,-5)=(-6,-15) \n" ); document.write( "In otder to return to his starting point, \n" ); document.write( "(-6,-15)+(X,Y)=(0,0) \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "X=6 miles East \n" ); document.write( "Y=15 miles North \n" ); document.write( " |