document.write( "Question 1069749: A man starts from point A to get to point B. The road makes the man travel 3 kilometres due north first, then 8 kilometres miles due east and further 3 kilometres due north to reach point B. If the man could have gone “as the crow flies”, how much less of a distance would he have to travel? \n" ); document.write( "

Algebra.Com's Answer #684917 by Fombitz(32388) $\"\"$ $\"About$

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Let east be positive x, north positive y.
\n" ); document.write( "Starting at (0,0).
\n" ); document.write( "(0,0)+(0,3)=(0,3)
\n" ); document.write( "(0,3)+(8,0)=(8,3)
\n" ); document.write( "(8,3)+(0,3)=(8,6)
\n" ); document.write( "So he traveled a total of $\"3%2B8%2B3=14\"$ $\"km\"$
\n" ); document.write( "Use the distance formula,
\n" ); document.write( " $\"D%5E2=%288-0%29%5E2%2B%286-0%29%5E2\"$
\n" ); document.write( " $\"D%5E2=64%2B36\"$
\n" ); document.write( " $\"D%5E2=100\"$
\n" ); document.write( " $\"D=10\"$ $\"km\"$
\n" ); document.write( "So he could save 4 km.
\n" ); document.write( " \n" ); document.write( "

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