document.write( "Question 947258: The glass for a window is 7.5 ft wide. About how high must a doorway have be in order for a contractor to get the glass through the door if the doorway is 3 ft wide? I'm not sure what to do, I'm not even sure where to START.Thank you for your help in advance! \n" ); document.write( "

Algebra.Com's Answer #578003 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The glass for a window is 7.5 ft wide.
\n" ); document.write( " About how high must a doorway have be in order for a contractor to get the glass through the door if the doorway is 3 ft wide?
\n" ); document.write( ":
\n" ); document.write( "Assuming the shorter side of the glass is 7.5 ft, carried thru the door diagonally we can solve this as follow:
\n" ); document.write( "Using pythag, a^2 + b^2 = c^2, where:
\n" ); document.write( "a = 3 ft
\n" ); document.write( "b = the height of the door which we are trying to find
\n" ); document.write( "c = 7.5 ft
\n" ); document.write( " $\"3%5E2+%2B+b%5E2+=+7.5%5E2\"$
\n" ); document.write( " $\"9+%2B+b%5E2+=+56.25\"$
\n" ); document.write( " $\"b%5E2+=+56.25+-+9\"$
\n" ); document.write( " $\"b%5E2+=+47.25\"$
\n" ); document.write( "b = $\"sqrt%2847.25%29\"$
\n" ); document.write( "b = 6.9 ft, Which is 6 + .9(12) = 6 ft 10.5 inch door would do nicely \n" ); document.write( "

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