document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112641>Question 1112641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Johnna was tending her garden and suddenly she noticed a very large unknown tree in its center. She didn't want to look up so she looked at the puddle 1 meter from her. She saw the top of the tree which was 9 meter away from the puddle. Find the length of the tree, if Johnna is 1.5 meter tall?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727693 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=727693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sketch below shows the situation.<BR>\n" );
document.write( "Known lengths, in m, are included along with other labels.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C400%2C-2%2C10%2C-1.5%2C14.5%2C%0D%0Atriangle%28-1%2C0%2C-1%2C1.5%2C0%2C0%29%2Crectangle%28-1%2C0%2C-0.8%2C0.2%29%2C%0D%0Agreen%28triangle%280%2C0%2C9%2C0%2C9%2C13.5%29%29%2C+%0D%0Ablue%28arc%280%2C0%2C0.6%2C0.3%2C0%2C360%29%29%2Clocate%28-0.5%2C-0.2%2Cblue%28puddle%29%29%2C%0D%0Agreen%28rectangle%289%2C0%2C8.7%2C0.3%29%29%2Cline%28-2%2C0%2C11%2C0%29%2C%0D%0Agreen%28line%289%2C0%2C9%2C13.5%29%29%2Clocate%289.03%2C9%2Cgreen%28tree%29%29%2C%0D%0Alocate%28-1.6%2C2.2%2CJohnna%29%2Clocate%28-2%2C0.9%2C1.5%29%2C%0D%0Alocate%28-0.65%2C0.6%2C1%29%2Clocate%284%2C0.6%2Cgreen%289%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > There are two right triangles.<BR>\n" );
document.write( "The angles of those triangles at the puddle are the same,<BR>\n" );
document.write( "because that is how reflection works.<BR>\n" );
document.write( "That makes the two right triangles similar.<BR>\n" );
document.write( "The two right triangles have the same shape, but the larger, green triangle<BR>\n" );
document.write( "is a scaled up version of the other one.<BR>\n" );
document.write( " <BR>\n" );
document.write( "MENTAL MATH SOLUTION:<BR>\n" );
document.write( "The scale-up factor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F1=9 ALIGN=MIDDLE  ALT=\"9%2F1=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so the three is 9 times taller than Johnna,<BR>\n" );
document.write( "at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A1.5m=highlight%2813.5m%29 ALIGN=MIDDLE  ALT=\"9%2A1.5m=highlight%2813.5m%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "SHOW-YOUR-WORK SOLUTION:<BR>\n" );
document.write( "AS the triangles are similar, their sides are proportional,<BR>\n" );
document.write( "so the tree height, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28h%29 ALIGN=MIDDLE  ALT=\"green%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , in m, satisfies<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28h%29%2F9=1.5%2F1 ALIGN=MIDDLE  ALT=\"green%28h%29%2F9=1.5%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28h%29%2F1.5=9%2F1 ALIGN=MIDDLE  ALT=\"green%28h%29%2F1.5=9%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28h%29=9%2A1.5=highlight%2813.5%29 ALIGN=MIDDLE  ALT=\"green%28h%29=9%2A1.5=highlight%2813.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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