document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=736309>Question 736309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33º. This particular tree grows at an angle of 83º with respect to the ground rather than vertically (90º). How tall is the tree?\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "paulaficarella@gmail.com\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449800 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=449800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here you have to use the law of sines\r<BR>\n" );
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document.write( "let tree make an angle of 83 deg.with the ground. (YZ)angle ZYX = 83deg\r<BR>\n" );
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document.write( "he walks 100 feet away from tree to point X (YX)angle YXZ= 33 deg\r<BR>\n" );
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document.write( "so remaining angle YZX = 64 deg\r<BR>\n" );
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document.write( "triangle YXZ is formed\r<BR>\n" );
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document.write( "sin A /a = sin B /b = sin C /c\r<BR>\n" );
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document.write( "Sin YZX/100 = sin YXZ/ YZ\r<BR>\n" );
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document.write( "sin 64/100 = sin 33/YZ\r<BR>\n" );
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document.write( "100 * sin 33/sin 64 = YZ\r<BR>\n" );
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document.write( "100*0.54/0.898= YZ<BR>\n" );
document.write( "YZ= 60.13 feet the height of the tree\r<BR>\n" );
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document.write( "You can solve the problem in a similar way if the tilt is to the other side.\r<BR>\n" );
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