document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775771>Question 775771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ranger's tower is located 44 meter from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 29 degrees, and the angle of depression to the base of the tree is 36 degrees. How tall is 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 #473198 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=473198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You described two triangles, each which share a common side (leg of two right triangles) of 44 meters.  The tangent of each of the angles is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F44 ALIGN=MIDDLE  ALT=\"y%2F44\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for two different values of y.  You know each angle already.  Use meaning of tangent as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sine%28x%29%2Fcosine%28x%29=tangent%28x%29 ALIGN=MIDDLE  ALT=\"sine%28x%29%2Fcosine%28x%29=tangent%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "Here, you would have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F44=tan%28x%29 ALIGN=MIDDLE  ALT=\"y%2F44=tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You do not need to worry about the signs too much because you are really only interested in lengths.  \r<BR>\n" );
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document.write( "These are the two lengths along the tree that you want:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bu%5D=44%2Atan%2829%29 ALIGN=MIDDLE  ALT=\"y%5Bu%5D=44%2Atan%2829%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bd%5D=44%2Atan%2836%29 ALIGN=MIDDLE  ALT=\"y%5Bd%5D=44%2Atan%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then you want <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bu%5D%2By%5Bd%5D ALIGN=MIDDLE  ALT=\"y%5Bu%5D%2By%5Bd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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