document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=866048>Question 866048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, can someone please help me out on this? Thanks a lot! \r<BR>\n" );
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document.write( "A tree grew at a 3° slant from the vertical. At a point 60 feet from the tree, the angle of elevation to the top of the tree is 14°. Find the height of the tree to the nearest tenth of a foot.\r<BR>\n" );
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document.write( "Thanks again. <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 #522060 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=522060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tree grew at a 3° slant from the vertical. At a point 60 feet from the tree, the angle of elevation to the top of the tree is 14°. Find the height of the tree to the nearest tenth of a foot.<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "You have a triangle with base angle at the tree = 87 degrees<BR>\n" );
document.write( "base of the triangle = 60  <BR>\n" );
document.write( "angle opposite the tree is 14 degrees.<BR>\n" );
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document.write( "Angle at the top of the tree = 180-(14+87) = 79 degrees<BR>\n" );
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document.write( "Use the Law of Sines to get::<BR>\n" );
document.write( "h/sin(14) = 60/sin(79)<BR>\n" );
document.write( "height of the tree = sin(14)[60/sin(79)] = 14.79 ft<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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