document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193538>Question 1193538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a 13 foot ladder leans against a wall. The foot of a ladder begins to slide away from the wall at the rate of 1 foot per minute. When the foot is 5ft from the wall, at what rate is the top of the ladder is falling?<BR>\n" );
document.write( "a.5/12 ft/min.<BR>\n" );
document.write( "b.4/3 ft/min.<BR>\n" );
document.write( "c.3/4 ft/min.<BR>\n" );
document.write( "d.12/5 ft/min. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825605 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The ladder, the ground, and the wall form a right triangle with hypotenuse 13.  The side lengths of the triangle and the hypotenuse are related by the equation<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=169 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Differentiate with respect to time:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28dx%2Fdt%29%2B2y%28dy%2Fdt%29=0 ALIGN=MIDDLE  ALT=\"2x%28dx%2Fdt%29%2B2y%28dy%2Fdt%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "At the specified time, when x (the distance from the foot of the ladder to the wall) is 5 ft, the vertical distance from the top of the ladder to the ground is 12 ft.  Use those values of x and y and the given value of dx/dt to find dy/dt.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%285%29%281%29%2B2%2812%29%28dy%2Fdt%29=0 ALIGN=MIDDLE  ALT=\"2%285%29%281%29%2B2%2812%29%28dy%2Fdt%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B24%28dy%2Fdt%29=0 ALIGN=MIDDLE  ALT=\"10%2B24%28dy%2Fdt%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%28dy%2Fdt%29=-10 ALIGN=MIDDLE  ALT=\"24%28dy%2Fdt%29=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt=-10%2F24=-5%2F12 ALIGN=MIDDLE  ALT=\"dy%2Fdt=-10%2F24=-5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since the foot of the ladder is sliding away from the foot of the wall (x is increasing), the top of the ladder is obviously moving down the wall, so dy/dt is negative.  But since the answer choices are all positive, we can assume that we can ignore the sign of dy/dt.<br><BR>\n" );
document.write( "ANSWER: 5/12 ft/min<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );