document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711274>Question 711274</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 60 feet and a maximum height of 20 feet.  Find the height of the arch at distances 5, 10, and 20 feet from the center.\r<BR>\n" );
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document.write( "The answers are in the back of my textbook, but I have no idea how to get to the answer.<BR>\n" );
document.write( "I started with finding the points on the arch (0,20) with, I'm assuming, the vertices (-30,0) and (30,0) when I drew it out.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437732 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=437732\">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 60 feet and a maximum height of 20 feet. Find the height of the arch at distances 5, 10, and 20 feet from the center. <BR>\n" );
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document.write( "Equation of an ellipse with horizontal major axis with center at (0,0):<BR>\n" );
document.write( "<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( "For given problem:<BR>\n" );
document.write( "b=20<BR>\n" );
document.write( "b^2=400<BR>\n" );
document.write( "a=30<BR>\n" );
document.write( "a^2=900<BR>\n" );
document.write( "equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F900%2By%5E2%2F400=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F900%2By%5E2%2F400=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%2F400=1-x%5E2%2F900 ALIGN=MIDDLE  ALT=\"y%5E2%2F400=1-x%5E2%2F900\"   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=%281-x%5E2%2F900%29%28400%29 ALIGN=MIDDLE  ALT=\"y%5E2=%281-x%5E2%2F900%29%28400%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=&#8730;[(1-x^2/900)(400)]<BR>\n" );
document.write( "plug in x-values of 5, 10, and 20 ft<BR>\n" );
document.write( "f(5)=&#8730;[(1-25/900)(400)]&#8776;19.72 ft (arch height 5 ft from center)<BR>\n" );
document.write( "f(10)=&#8730;[(1-100/900)(400)]&#8776;18.86 ft (arch height 10 ft from center)<BR>\n" );
document.write( "f(20)=&#8730;[(1-400/900)(400)]&#8776;14.91 ft (arch height 20 ft from center) </SPAN>\n" );
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