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 #854478 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53937)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "a one-way road passes under an overpass in the shape of half and ellipse, 30ft high at the center and 20ft wide. <BR>\n" );
document.write( "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( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculations in the post by @lwsshak3 are incorrect, leading to wrong answer.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to provide a correct solution.\r<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=64/100    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<<<---===  this is the point where @lwsshak3 made his mistake<BR>\n" );
document.write( "y^2=9*64=576<BR>\n" );
document.write( "y=√576 = 24\r<BR>\n" );
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document.write( "what is the tallest truck that can pass? < 24 ft\r<BR>\n" );
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document.write( "More accurately, the conception \"tallest truck\" does not work in this problem, <BR>\n" );
document.write( "so the question is posed incorrectly in the post.\r<BR>\n" );
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document.write( "A correct question should ask about the set of possible heights.<BR>\n" );
document.write( "Then the answer  \" h < 24 ft \" is correct and accurate.\r<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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