document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039833>Question 1039833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me?\r<BR>\n" );
document.write( "\n" );
document.write( "How high is a tree that casts a 35-ft shadow at the same time a 4&#8203;-ft post casts a shadow which is 12&#8203;-ft &#8203;long? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654572 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Think of the light rays coming down at<BR>\n" );
document.write( "a certain angle. The thing that never changes <BR>\n" );
document.write( "is the angle that the light ray makes when<BR>\n" );
document.write( "it hits the ground. <BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "What does change is the length of the shadow<BR>\n" );
document.write( "when something gets in the way of the<BR>\n" );
document.write( "light ray, but all these obstructions create<BR>\n" );
document.write( "similar triangles because ( height ) / ( shadow )<BR>\n" );
document.write( "will stay the same<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+ ALIGN=MIDDLE  ALT=\"+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the height of the tree<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+%2F+35+=+4+%2F+12+ ALIGN=MIDDLE  ALT=\"+h+%2F+35+=+4+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2A35+ ALIGN=MIDDLE  ALT=\"+12%2A35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12h+=+35%2A4+ ALIGN=MIDDLE  ALT=\"+12h+=+35%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12h+=+140+ ALIGN=MIDDLE  ALT=\"+12h+=+140+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+11.667+ ALIGN=MIDDLE  ALT=\"+h+=+11.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Convert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.667+ ALIGN=MIDDLE  ALT=\"+.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft to inches<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.667%2A12+=+8+ ALIGN=MIDDLE  ALT=\"+.667%2A12+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The height of the tree is 11 ft 8 in </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );