document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855099>Question 855099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bridge is built in the shape of a semielliptical arch. The bridge has a span of 120 feet and a maximum <BR>\n" );
document.write( "height of 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of <BR>\n" );
document.write( "10, 30, and 50 feet from the center. <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 #515118 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=515118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bridge is built in the shape of a semielliptical arch. The bridge has a span of 120 feet and a maximum <BR>\n" );
document.write( "height of 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of <BR>\n" );
document.write( "10, 30, and 50 feet from the center<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Work with an ellipse with a horizontal major axis with center at the origin.<BR>\n" );
document.write( "Its form of equation: <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;\" ><BR>\n" );
document.write( "a=60<BR>\n" );
document.write( "a^2=3600<BR>\n" );
document.write( "b=25<BR>\n" );
document.write( "b^2=625<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F3600%2By%5E2%2F625=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F3600%2By%5E2%2F625=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%2F625=1-x%5E2%2F3600 ALIGN=MIDDLE  ALT=\"y%5E2%2F625=1-x%5E2%2F3600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take sqrt of both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F25=sqrt%281-x%5E2%2F3600%29 ALIGN=MIDDLE  ALT=\"y%2F25=sqrt%281-x%5E2%2F3600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=25sqrt%281-x%5E2%2F3600%29 ALIGN=MIDDLE  ALT=\"y=25sqrt%281-x%5E2%2F3600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=25%28sqrt%283600-x%5E2%29%2F60%29 ALIGN=MIDDLE  ALT=\"y=25%28sqrt%283600-x%5E2%29%2F60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5%28sqrt%283600-x%5E2%29%2F12%29 ALIGN=MIDDLE  ALT=\"y=5%28sqrt%283600-x%5E2%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(10)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28sqrt%283600-100%29%2F12%29=5%28sqrt%283500%29%2F12%29 ALIGN=MIDDLE  ALT=\"5%28sqrt%283600-100%29%2F12%29=5%28sqrt%283500%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >&#8776;24.65<BR>\n" );
document.write( "f(30)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28sqrt%283600-900%29%2F12%29=5%28sqrt%282700%29%2F12%29 ALIGN=MIDDLE  ALT=\"5%28sqrt%283600-900%29%2F12%29=5%28sqrt%282700%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >&#8776;21.65<BR>\n" );
document.write( "f(50)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28sqrt%283600-2500%29%2F12%29=5%28sqrt%281100%29%2F12%29 ALIGN=MIDDLE  ALT=\"5%28sqrt%283600-2500%29%2F12%29=5%28sqrt%281100%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >&#8776;13.82 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );