document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205329>Question 1205329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A natural draft cooling tower is shaped like a hyperbola For more efficient cooling of power plants. The hyperbola of the tower can be molded by x^2/16 - y^2/225 = 1 with 200m height. Find the width of the top and the narrowest in the middle  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842055 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given hyperbola:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F16+-+y%5E2%2F225+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F16+-+y%5E2%2F225+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200m+ ALIGN=MIDDLE  ALT=\"200m+\"   DISABLED_style= \"max-width:90%; height:auto;\" >height \r<BR>\n" );
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document.write( "With \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" and \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" , we have the hyperbola centered at the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=origin ALIGN=MIDDLE  ALT=\"origin\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "This makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200m ALIGN=MIDDLE  ALT=\"200m\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100m ALIGN=MIDDLE  ALT=\"100m\"   DISABLED_style= \"max-width:90%; height:auto;\" > above the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >-axis and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100m ALIGN=MIDDLE  ALT=\"100m\"   DISABLED_style= \"max-width:90%; height:auto;\" > below, means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=100m ALIGN=MIDDLE  ALT=\"+y=100m\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "plug it in equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F16+-+100%5E2%2F225+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F16+-+100%5E2%2F225+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284sqrt%28409%29%29%2F3 ALIGN=MIDDLE  ALT=\"x+=+%284sqrt%28409%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>exact the width of the top\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=26.97 ALIGN=MIDDLE  ALT=\"x+=26.97\"   DISABLED_style= \"max-width:90%; height:auto;\" > => approximately\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-50%2C+50%2C+-125%2C+125%2C+%0D%0Ablue%28line+%2826.97%2C100.019%2C+-26.97%2C100.019%29%29%2C+locate%285%2C100.019%2C26.97m%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-50%2C+50%2C+-125%2C+125%2C+-%2815%2F4%29sqrt%28x%5E2-16%29%2C+%2815sqrt%28x%5E2-16%29%29%2F4%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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