document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110465>Question 110465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a pole in a lake. One half of the pole is in the ground, another one third of it is covered with water, and 10ft is out of water. What is the total length of the pole in ft? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80509 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=80509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=length of pole in feet\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we know that half (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) of (which means \"multiply\") the pole (x) is in the ground. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x ALIGN=MIDDLE  ALT=\"%281%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be the expression for the length of the pole in the ground.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We also know that a third <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the pole is underwater. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29x ALIGN=MIDDLE  ALT=\"%281%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be the expression for the length of the pole underwater.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Finally we know that 10 ft is above water. Now simply add all of the pieces of the pole to get the total length x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x%2B%281%2F3%29x%2B10=x ALIGN=MIDDLE  ALT=\"%281%2F2%29x%2B%281%2F3%29x%2B10=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > this says that the sum of the parts equals the entire length of the pole\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28%281%2F2%29x%2B%281%2F3%29x%2B10%29=6x ALIGN=MIDDLE  ALT=\"6%28%281%2F2%29x%2B%281%2F3%29x%2B10%29=6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD 6 to remove the fractions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2x%2B60=6x ALIGN=MIDDLE  ALT=\"3x%2B2x%2B60=6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B60=6x ALIGN=MIDDLE  ALT=\"5x%2B60=6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%285x-5x%29%2B60=6x-5x ALIGN=MIDDLE  ALT=\"cross%285x-5x%29%2B60=6x-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5x from both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60=x ALIGN=MIDDLE  ALT=\"60=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the length of the pole is 60 ft\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Notice if we take half of 60, we get 30; if we take a third of 60, we get 20. Now add 30, 20 and 10 to get\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2B20%2B10=60 ALIGN=MIDDLE  ALT=\"30%2B20%2B10=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > So this verifies our answer. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );