document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996971>Question 996971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pole 12 meters long is leaning against a vertical wall of a building. If the foot of the pole is being pulled away from the wall at rate of 2 meters per minute, how fast is the top of the pole sliding down the wall at the instant when the foot of the pole is 5 meters from the wall<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615238 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pole 12 meters long is leaning against a vertical wall of a building. If the foot of the pole is being pulled away from the wall at rate of 2 meters per minute, how fast is the top of the pole sliding down the wall at the instant when the foot of the pole is 5 meters from the wall<BR>\n" );
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document.write( "Use x for the horizontal distance from the wall.<BR>\n" );
document.write( "h = height on the wall<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2+=+12%5E2+-+x%5E2 ALIGN=MIDDLE  ALT=\"h%5E2+=+12%5E2+-+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Differentiate implicitly.<BR>\n" );
document.write( "2hdh/t = -2xdx/dt<BR>\n" );
document.write( "h'/x' = -x/h<BR>\n" );
document.write( "At x = 5:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2Fsqrt%2812%5E2+-+5%5E2%29 ALIGN=MIDDLE  ALT=\"-5%2Fsqrt%2812%5E2+-+5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2Fsqrt%28119%29 ALIGN=MIDDLE  ALT=\"-5%2Fsqrt%28119%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > m/sec<BR>\n" );
document.write( "=~ -0.458 m/sec<BR>\n" );
document.write( "(Negative because it's decreasing)<BR>\n" );
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