document.write( "Question 1196661: An elliptical arch bridge is build across a one lane highway. The arch is 20ft across an has a maximum center height of 12ft Will a farm truck hauling a load l0ft wide with a clearance height of 11ft be able to go through the bridge without damage? \n" ); document.write( "
Algebra.Com's Answer #829600 by Alan3354(69443)\"\" \"About 
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An elliptical arch bridge is build across a one lane highway. The arch is 20ft across an has a maximum center height of 12ft Will a farm truck hauling a load l0ft wide with a clearance height of 11ft be able to go through the bridge without damage?
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\n" ); document.write( "Three points are given:
\n" ); document.write( "(-10,0), (0,12) and (10,0)
\n" ); document.write( "One ellipse thru the 3 points is \"x%5E2%2F100+%2B+y%5E2%2F144+=+1\"
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\n" ); document.write( "\"x%5E2%2F100+%2B+y%5E2%2F144+=+1\"
\n" ); document.write( "At x = -5 for +5:
\n" ); document.write( "\"25%2F100+%2B+y%5E2%2F144+=+1\"
\n" ); document.write( "\"y%5E2%2F144+=+3%2F4\"
\n" ); document.write( "\"y%5E2+=+108\"
\n" ); document.write( "y =~ 10.39 so there is clearance.
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