document.write( "Question 1065349: Two cars leaveba house in California. One of the car travels 6km east and 8km north. The second car travels 12km south anf then 9km west. How far apart are the cars? Thanks. \n" ); document.write( "
Algebra.Com's Answer #680509 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
If the house is at the center of a grid with
\n" ); document.write( "1 unit = 1 km, then the given distances
\n" ); document.write( "are:
\n" ); document.write( "y1 = 8
\n" ); document.write( "x1 = 6
\n" ); document.write( "and
\n" ); document.write( "y2 = -12
\n" ); document.write( "x2 = -9
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\n" ); document.write( "They form right triangles that are proportional
\n" ); document.write( "to 3:4:5 triangles
\n" ); document.write( "y1 = 2*4
\n" ); document.write( "x1 = 2*3
\n" ); document.write( "d1 = 2*5
\n" ); document.write( "and
\n" ); document.write( "y2 = 3*(-4 )
\n" ); document.write( "x2 = 3*(-3 )
\n" ); document.write( "d2 = 3*(-5 )
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\n" ); document.write( "The d's are the resultant vectors for each trip
\n" ); document.write( "If the angle that each d vector makes with x-axis
\n" ); document.write( "is the same, then the vectors are pointing in
\n" ); document.write( "opposite directions, and I can add them to get
\n" ); document.write( "total distance.
\n" ); document.write( "\"+cot%28+a%5B1%5D+%29+=+6%2F8+\"
\n" ); document.write( "\"+cot%28+a%5B2%5D+%29+=+%28-9%29%2F%28-12%29+\"
\n" ); document.write( "\"+6%2F8+=+9%2F12+\"
\n" ); document.write( "So I can just add the vectors
\n" ); document.write( "The cars are \"+10+%2B+15+=+25+\" km apart
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\n" ); document.write( "Hope this makes sense
\n" ); document.write( "Get another opinion, too\r
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