document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014440>Question 1014440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey there \r<BR>\n" );
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document.write( "Trina and mazaheer are standing on the same side of a red maple tree. The angle of elevation from mazaheer to the tree top is 67 degrees and the angle of elevation from Trina to the tree top is 53°. If the tree is 12m high how far apart are the two girls? What is the distance between Trina and the top of the tree? \r<BR>\n" );
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document.write( "Can you please solve this step by step. I'm having a lot of trouble with this question. Thanks I really appreciate it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630755 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=630755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> DRAW the figure.<BR>\n" );
document.write( "Two right triangles share the same leg of 12 meters for the tree height.  One triangle has short unknown leg where Mazaheer is, the 67 degree elevation to tree top, and longer unknown leg where Trinia is, the 53 degree angle of elevation to the tree top.  The point of the tree base, point where is Mazaheer and point where is Trinia, are on the same line (collinear).\r<BR>\n" );
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document.write( "Mazaheer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2867%29=12%2FM ALIGN=MIDDLE  ALT=\"tan%2867%29=12%2FM\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%2Atan%2867%29=12 ALIGN=MIDDLE  ALT=\"M%2Atan%2867%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=12%2Ftan%2867%29 ALIGN=MIDDLE  ALT=\"M=12%2Ftan%2867%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Trinia:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2853%29=12%2FT ALIGN=MIDDLE  ALT=\"tan%2853%29=12%2FT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%2Atan%2853%29=12 ALIGN=MIDDLE  ALT=\"T%2Atan%2853%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=12%2Ftan%2853%29 ALIGN=MIDDLE  ALT=\"T=12%2Ftan%2853%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "How far apart are they?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T-M ALIGN=MIDDLE  ALT=\"T-M\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Ftan%2853%29-12%2Ftan%2867%29 ALIGN=MIDDLE  ALT=\"12%2Ftan%2853%29-12%2Ftan%2867%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----this uncomputed expression is how far apart the two girls are on the ground.  This itself was not what was the question.  Neither is this really necessary...\r<BR>\n" );
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document.write( "How far is Trinia from the top of the tree?<BR>\n" );
document.write( "This is the hypotenuse of the right triangle so, ....  USE sine function.<BR>\n" );
document.write( "Let r be the distance from Trinia to the tree top.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28sin%2853%29=12%2Fr%29 ALIGN=MIDDLE  ALT=\"highlight%28sin%2853%29=12%2Fr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "THAT is what you want, and solve for r. </SPAN>\n" );
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