document.write( "Question 426473: During summer heat a 6 mile bridge expands 6 feet in length. Assuming the bulge is in the center of the bridge and straight up, how high is the bulge?
\n" ); document.write( "a)What is the exact height in feet using radicals as needed without simplifying?
\n" ); document.write( "b)What is the height of the bulge in feet simplified using an integer or decimal rounded to the nearest thousandth?
\n" ); document.write( "

Algebra.Com's Answer #296739 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
During summer heat a 6 mile bridge expands 6 feet in length.
\n" ); document.write( " Assuming the bulge is in the center of the bridge and straight up, how high is the bulge?
\n" ); document.write( ":
\n" ); document.write( "a)What is the exact height in feet using radicals as needed without simplifying?
\n" ); document.write( ":
\n" ); document.write( "A right triangle formed by half the bridge
\n" ); document.write( "Find the number of ft in 3 miles: 3 * 5280 = 15840 ft, on a cold day
\n" ); document.write( "The expansion on half the bridge will be 3 ft, on a hot day: 15843 ft
\n" ); document.write( "Let x = height the bridge rises in the middle
\n" ); document.write( "x^2 + 15840^2 = 15843^2
\n" ); document.write( "x^2 = 15843^2 - 15840^2
\n" ); document.write( "x = \"sqrt%2815843%5E2+-+15840%5E2%29\"
\n" ); document.write( "x = \"sqrt%2895049%29+\" ft
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "b)What is the height of the bulge in feet simplified using an integer or decimal rounded to the nearest thousandth?
\n" ); document.write( "x = 308.3 ft
\n" ); document.write( ":
\n" ); document.write( "That seems like a lot but, there's the math anyway.
\n" ); document.write( "
\n" );