document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184839>Question 1184839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An arch is in the form of a semiellipse. It is 48 ft wide at the base and has a<BR>\n" );
document.write( "height of 20ft. How wide is the arch at a height of 10 ft above the base? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815485 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Here the length of the major axis is given as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a=48 ALIGN=MIDDLE  ALT=\"2a=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=24 ALIGN=MIDDLE  ALT=\"a=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the height of the semi-ellipse is given as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=20 ALIGN=MIDDLE  ALT=\"b=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now the standard equation of an ellipse with center at origin is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Putting the values of a and b in the above equation of an ellipse, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F24%5E2+%2B+y%5E2%2F20%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F24%5E2+%2B+y%5E2%2F20%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For the height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet, the equation becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F576+%2B+10%5E2%2F400+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F576+%2B+10%5E2%2F400+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F576+%2B+100%2F400+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F576+%2B+100%2F400+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F576%2B1%2F4+=+1+ ALIGN=MIDDLE  ALT=\"x%5E2%2F576%2B1%2F4+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F576+=+1+-1%2F4 ALIGN=MIDDLE  ALT=\"x%5E2%2F576+=+1+-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F576+=+3%2F4 ALIGN=MIDDLE  ALT=\"x%5E2%2F576+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%283%2F4%29576 ALIGN=MIDDLE  ALT=\"x%5E2+=+%283%2F4%29576\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+3%2A144 ALIGN=MIDDLE  ALT=\"x%5E2+=+3%2A144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+sqrt%283%2A144%29 ALIGN=MIDDLE  ALT=\"x+=+sqrt%283%2A144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12sqrt%283%29+ ALIGN=MIDDLE  ALT=\"x+=+12sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft \r<BR>\n" );
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document.write( "at a height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+ ALIGN=MIDDLE  ALT=\"10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >ft above the base,  the arch is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+12sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft  wide </SPAN>\n" );
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