document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757456>Question 757456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a certain time of day, a tree that is x feet tall casts a shadow that is x-17 meters long. If the distance from the top of the tree to the end of the shadow is x+8 meters, what is the height,x, 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 #460892 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Pythagoras question.<BR>\n" );
document.write( "Tree = x<BR>\n" );
document.write( "Shadow = x - 17<BR>\n" );
document.write( "Distance from top of tree<BR>\n" );
document.write( "to end of shadow = x + 8<BR>\n" );
document.write( "So x^2 + (x - 17)^2 = (x + 8)^2<BR>\n" );
document.write( "  x^2 +(x^2 - 34x + 289) = (x^2 + 16x + 64)<BR>\n" );
document.write( " Combine and collect like terms.<BR>\n" );
document.write( "       x^2 - 50x + 225<BR>\n" );
document.write( "       (x - 5)(x - 45)<BR>\n" );
document.write( "So either x = 5  or x = 45<BR>\n" );
document.write( "As the shadow = (x - 17) I would<BR>\n" );
document.write( "discount x = 5.<BR>\n" );
document.write( "Tree height = 45ft<BR>\n" );
document.write( "Tree's shadow = 28ft<BR>\n" );
document.write( "Distance from top of<BR>\n" );
document.write( "tree to tip of shadow.<BR>\n" );
document.write( "= 53ft.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );