document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715244>Question 715244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Due to a storm, a flagpole broke at a certain point. The top part tipped over like a hinge, with the tip hitting the ground at a point 20 feet from the flagpole's base.\r<BR>\n" );
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document.write( "The flagpole was rewelded, but another storm broke it again at a point 5 feet lower than the previous break. And, this time the tip hit the ground at a point 30 feet from the base.\r<BR>\n" );
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document.write( "How tall was the flagpole? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439323 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=439323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the broken part length be y<BR>\n" );
document.write( "let the remaining lenngth be x<BR>\n" );
document.write( "distance from base of pole = 20ft\r<BR>\n" );
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document.write( "they form a right triangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=x%5E2%2B%2820%29%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=x%5E2%2B%2820%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >    by Pythagoras theorem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-x%5E2=400 ALIGN=MIDDLE  ALT=\"y%5E2-x%5E2=400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Second condition\r<BR>\n" );
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document.write( "it breaks 5feet below\r<BR>\n" );
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document.write( "The broken part length = y+5<BR>\n" );
document.write( "The remaining part length =- x-5<BR>\n" );
document.write( "distance from base of pole = 30 ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%5E2=+%28x-5%29%5E2%2B%2830%29%5E2 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%5E2=+%28x-5%29%5E2%2B%2830%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B10y%2B25+=+x%5E2-10x%2B25%2B900 ALIGN=MIDDLE  ALT=\"y%5E2%2B10y%2B25+=+x%5E2-10x%2B25%2B900\"   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=y%5E2-x%5E2=+-10x-10y%2B900 ALIGN=MIDDLE  ALT=\"y%5E2-x%5E2=+-10x-10y%2B900\"   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=400=+-10x-10y%2B900 ALIGN=MIDDLE  ALT=\"400=+-10x-10y%2B900\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "10x+10y=500<BR>\n" );
document.write( "/10<BR>\n" );
document.write( "x+y= 50 \r<BR>\n" );
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document.write( "But x+y is the length of the flag pole\r<BR>\n" );
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document.write( " </SPAN>\n" );
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