document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187287>Question 1187287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> As part of an art show, a gallery owner asks a student from a university to design a unique exhibit that will highlight one of the more significant pieces in the collection, an ancient sculpture. The student decides to create an elliptical showroom with reflective wall, with a rotating laser light on a stand at one focus, and the sculpture placed at the other focus on a stand of equal height. The laser light then points continually at the sculpture as it rotates. If the elliptical room is 24 feet long and 16 feet wide, how far from the center of the ellipse should the stands be located (round to the nearest tenth of a foot). How far apart are the stands?\r<BR>\n" );
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document.write( "(1) Given  <BR>\n" );
document.write( "(2) Required to find <BR>\n" );
document.write( "(3) Graph/Illustration <BR>\n" );
document.write( "(4) Equation to be used <BR>\n" );
document.write( "(5) Computation <BR>\n" );
document.write( "(6) Final answer<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818349 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) Given Major axis =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24ft ALIGN=MIDDLE  ALT=\"24ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > , Minor Axis =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16ft ALIGN=MIDDLE  ALT=\"16ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) Required to find Focal distance =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and distance between foci =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c ALIGN=MIDDLE  ALT=\"2c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) Graph/Illustration<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C250%2C-15%2C15%2C-12.5%2C12.5%2C%0D%0Agrid%280%29%2C%0D%0Aarc%280%2C0%2C24%2C16%2C0%2C360%29%2C%0D%0Acircle%288.94%2C0%2C0.4%29%2C+circle%28-8.94%2C0%2C0.4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) Equation to be used<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=b%5E2%2Bc%5E2 ALIGN=MIDDLE  ALT=\"a%5E2=b%5E2%2Bc%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >=semi-major axis = major axis/2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >=semi-minor axis = minor axis/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" >=focal distance distance from the center of the ellipse to each focus<BR>\n" );
document.write( "(5) Computation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=24ft%2F2=12ft ALIGN=MIDDLE  ALT=\"a=24ft%2F2=12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=16ft%2F2=8ft ALIGN=MIDDLE  ALT=\"b=16ft%2F2=8ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=b%5E2%2Bc%5E2 ALIGN=MIDDLE  ALT=\"a%5E2=b%5E2%2Bc%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2-b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2-b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=%2812ft%29%5E2-%288ft%29%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=%2812ft%29%5E2-%288ft%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=144ft%5E2-64ft%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=144ft%5E2-64ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=80ft%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=80ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=sqrt%28208ft%5E2%29 ALIGN=MIDDLE  ALT=\"c=sqrt%28208ft%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=8.944ft%29 ALIGN=MIDDLE  ALT=\"c=8.944ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=highlight%288.9ft%29 ALIGN=MIDDLE  ALT=\"c=highlight%288.9ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c=2%2A8.944ft ALIGN=MIDDLE  ALT=\"2c=2%2A8.944ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=17.888ft ALIGN=MIDDLE  ALT=\"c=17.888ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c=highlight%2817.9ft%29 ALIGN=MIDDLE  ALT=\"2c=highlight%2817.9ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(6) Final answer<BR>\n" );
document.write( "The stands should be located <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288.9ft%29 ALIGN=MIDDLE  ALT=\"highlight%288.9ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the center of the room.<BR>\n" );
document.write( "The stands will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2817.9ft%29 ALIGN=MIDDLE  ALT=\"highlight%2817.9ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > apart (rounding the final result, not doubling the rounded value for c). </SPAN>\n" );
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