document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066605>Question 1066605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a point on the ground 24 ft from the base of a&#8203; tree, the distance to the top of the tree is 6 ft more than 2 times the height of the tree. Find the height of the tree.<BR>\n" );
document.write( "The height of the tree is <BR>\n" );
document.write( "blank ft. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681788 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Drawing this helps.<BR>\n" );
document.write( "there is a triangle with leg 24, the tree height x, and the hypotenuse 2x+6.<BR>\n" );
document.write( "x^2+576=(2x+6)^2=4x^2+24x+36<BR>\n" );
document.write( "0=3x^2+24x-540<BR>\n" );
document.write( "0=x^2+8x-180<BR>\n" );
document.write( "0=(x+18)(x-10)<BR>\n" );
document.write( "positive root ix x=10 feet, height of tree.  ANSWER<BR>\n" );
document.write( "from 24 feet away, the distance to the top is 10^2+24^2=676=26^2, which is 6 feet more than twice the height of the tree.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );