document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76472>Question 76472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An arch is semi-elliptical with a base that is 20 feet wide and a height at the center of 8 feet. How high is the arch 6 feet from the center of 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 #54875 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you picture the arch with the base sitting on the x-axis and centered on the y-axis, it is an ellipse with a major axis of 20 and a minor axis of 16 centered at the origin (0,0)\r<BR>\n" );
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document.write( "the equation of this ellipse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F10%5E2%2B%28y%5E2%29%2F8%5E2=1 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F10%5E2%2B%28y%5E2%29%2F8%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2%2B25y%5E2=1600 ALIGN=MIDDLE  ALT=\"16x%5E2%2B25y%5E2=1600\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "at x=6 (or -6) the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576%2B25y%5E2=1600 ALIGN=MIDDLE  ALT=\"576%2B25y%5E2=1600\"   DISABLED_style= \"max-width:90%; height:auto;\" >...or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y%5E2=1024 ALIGN=MIDDLE  ALT=\"25y%5E2=1024\"   DISABLED_style= \"max-width:90%; height:auto;\" >...or 5y=32...so y=6.4 and height is 6.4 feet </SPAN>\n" );
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