document.write( "Question 882972: Mike and Sandra leave their house. Mike travels northward for 4 miles to get to his job, and Sandra travels west for 3 miles to get to her job. Find out how many miles apart they work. \n" ); document.write( "
Algebra.Com's Answer #533222 by Leaf W.(135)\"\" \"About 
You can put this solution on YOUR website!
Hello!
\n" ); document.write( "***
\n" ); document.write( "First of all, draw a picture of what is going on! Here is my rendition:
\n" ); document.write( "
\n" ); document.write( "As you can see, the paths that Mike and Sandra take are at right angles to each other, and thus create a right triangle whose hypotenuse is the distance between their workplaces. To solve for this distance (which I will call D), simply use the Pythagorean theorem:
\n" ); document.write( "\"a%5E2+%2B+b%5E2+=+c%5E2\"
\n" ); document.write( "\"%28side%5B1%5D%29%5E2+%2B+%28side%5B2%5D%29%5E2+=+hypotenuse%5E2\"
\n" ); document.write( "\"4%5E2+%2B+3%5E2+=+d%5E2\"
\n" ); document.write( "\"16+%2B+9+=+d%5E2\"
\n" ); document.write( "\"25+=+d%5E2\"
\n" ); document.write( "d = 5
\n" ); document.write( "***
\n" ); document.write( "Therefore, Mike and Sandra work five miles apart.
\n" ); document.write( "Let me know if you need further clarification! =)
\n" ); document.write( "
\n" );