document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019412>Question 1019412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The opening of the a cave 20 feet wide is in the shape of semi ellipse. If the height of the opening is 15 feet at the center, how high is the opening 5 feet from the center? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635330 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=635330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Making the center of floor entrance correspond to the origin (0,0), the semi-ellipse would follow the equation\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F%2820%2F2%29%5E2+%2B+y%5E2%2F15%5E2+=+x%5E2%2F100%2By%5E2%2F225+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F%2820%2F2%29%5E2+%2B+y%5E2%2F15%5E2+=+x%5E2%2F100%2By%5E2%2F225+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "5 feet from the center, x = 5, and after substitution gives\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F100+%2B+y%5E2%2F225+=+1 ALIGN=MIDDLE  ALT=\"25%2F100+%2B+y%5E2%2F225+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F225+=+3%2F4 ALIGN=MIDDLE  ALT=\"y%5E2%2F225+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+=+%283%2F4%29%2A225 ALIGN=MIDDLE  ALT=\"y%5E2+=+%283%2F4%29%2A225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28sqrt%283%29%2A15%29%2F2 ALIGN=MIDDLE  ALT=\"y+=+%28sqrt%283%29%2A15%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > after taking the positive square root.<BR>\n" );
document.write( "y = 12.99 feet, or 13 feet approximately. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );