document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119437>Question 119437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really appreciate if you could please help me with this problem. \r<BR>\n" );
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document.write( "You are standing in a meadow near a mountain. The angle of elevation to the top of the mountain is 22 degrees. You move 100 m closer to the mountain and measure the angle of elevation to be 30 degrees. Complete the diagram and determine the height of the mountain, to the nearest meter.\r<BR>\n" );
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document.write( "Thank you in advance for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87503 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the height of the mountain and the distance to the mountain form a right angle\r<BR>\n" );
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document.write( "the height divided by the distance is the tangent of the angle of elevation of the mountain top\r<BR>\n" );
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document.write( "let x=\"height of the mountain\" __ x/d=tan(22°) __ x/(tan(22°))=d\r<BR>\n" );
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document.write( "x/(d-100)=tan(30°) __ x/(tan(30°))=d-100\r<BR>\n" );
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document.write( "x/(tan(30°))=(x/(tan(22°)))-100 __ (x/(tan(30°)))-(x/(tan(22°)))=-100\r<BR>\n" );
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document.write( "x(tan(22°))-x(tan(30°))=-100(tan(22°))(tan(30°)) __ x=(-100(tan(22°))(tan(30°)))/((tan(22°))-(tan(30°))) </SPAN>\n" );
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