document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976252>Question 976252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a one-way road passes under an overpass in the shape of half and ellipse, 30ft high at the center and 20ft wide. Assuming a truck is 12ft wide, what is the tallest truck that can pass under the overpass? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597980 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=597980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a one-way road passes under an overpass in the shape of half and ellipse, 30ft high at the center and 20ft wide. Assuming a truck is 12ft wide, what is the tallest truck that can pass under the overpass?<BR>\n" );
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document.write( "Ellipse has a vertical major axis<BR>\n" );
document.write( "Its basic form of equation:<BR>\n" );
document.write( "x^2/b^2+y^2/a^2=1<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "a=30<BR>\n" );
document.write( "b=10<BR>\n" );
document.write( "equation: x^2/10^2+y^2/30^2=1<BR>\n" );
document.write( "=x^2/100+y^2/900=1<BR>\n" );
document.write( "coordinates of point at which a 12 ft wide truck would reach the overpass=(6,y)<BR>\n" );
document.write( "plug in x-coordinate and solve for y<BR>\n" );
document.write( "y^2/900=1-x^2/100=1-36/100=54/100<BR>\n" );
document.write( "y^2=9*54=486<BR>\n" );
document.write( "y=&#8730;486&#8776;22<BR>\n" );
document.write( "what is the tallest truck that can pass? < 22 ft </SPAN>\n" );
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