document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185068>Question 1185068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person, standing at one focus of a whispering gallery, is 6 feet from the nearest wall. Her friend is standing at the other focus, 100 feet away.<BR>\n" );
document.write( "a. What is the length of this whispering gallery?<BR>\n" );
document.write( "b. How high is its elliptical ceiling at the center?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815801 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "a. The two foci are equal distances from the two walls, so the total length of the gallery is 100+2(6)=112 feet.<br><BR>\n" );
document.write( "b. The distance from the center of the gallery to each focus is c=50; the distance from the center to each wall is a=56.  The height of the gallery at the center is b, where <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><BR>\n" );
document.write( "Plug in the known values of a and c to calculate b.<br><BR>\n" );
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