document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872221>Question 872221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are in the smaller building looking out of a window. You sight the top of the taller building at an angle of40 degrees. You sight the bottom of the taller building with an angle of depression of 20 degrees. If the building is 200 feet tall, how high up are you in the smaller building? How far apart are the two buildings? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526014 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=526014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are in the smaller building looking out of a window. You sight the top of the taller building at an angle of40 degrees. You sight the bottom of the taller building with an angle of depression of 20 degrees. If the building is 200 feet tall, how high up are you in the smaller building? How far apart are the two buildings?\r<BR>\n" );
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document.write( "angle of elevation to the top of taller building = 40 degrees\r<BR>\n" );
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document.write( "angle of depression to the bottom of taller building = 20 degrees\r<BR>\n" );
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document.write( "Let us assume you are at height h in the smaller building<BR>\n" );
document.write( "height of taller building = 200 ft\r<BR>\n" );
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document.write( "let the distance between the two buildings be d\r<BR>\n" );
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document.write( "tan 20 = h/d\r<BR>\n" );
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document.write( "tan 40 = (200-h)/d\r<BR>\n" );
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document.write( "tan 20 + tan 40 = h/d + (200-h)/d\r<BR>\n" );
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document.write( "tan 20 + tan 40 = 200/d\r<BR>\n" );
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document.write( "d= 200/( tan 40 +tan 20 )<BR>\n" );
document.write( "d=166.07 feet\r<BR>\n" );
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document.write( "Now tan 20 = h/166.07<BR>\n" );
document.write( "h = 166.07*tan 20\r<BR>\n" );
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document.write( "h = 60.44 feet\r<BR>\n" );
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document.write( "you are standing 60.44 feet  </SPAN>\n" );
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