document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109636>Question 109636</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/091809190x/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A Christmas tree is supported by a wire that is 1 foot longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 49 feet shorter than the height of the tree. What is the height of the tree? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79927 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=79927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h^2+(h-49)^2=(h+1)2<BR>\n" );
document.write( "h^2+h^2-98h+2401=h^2+2h+1<BR>\n" );
document.write( "2h^2-h^2-98h-2h+2401-1=0<BR>\n" );
document.write( "h^2-100h+2400=0<BR>\n" );
document.write( "(h-60)(h-40)=0<BR>\n" );
document.write( "h=60 answer for the height of the tree.<BR>\n" );
document.write( "proof.<BR>\n" );
document.write( "60^2+(60-49)^2=(60+1)^2<BR>\n" );
document.write( "3600+11^2=61^2<BR>\n" );
document.write( "3600+121=3721<BR>\n" );
document.write( "3721=3721.\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );