document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=334030>Question 334030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fortress has been built on top of a cliff. You measure the angle of elevation of the top of the cliff from a point 200 ft horizontally away from the base of the cliff to be 30' and the angle of elevation of the top of the fortress wall from the same point to be 45'. What is the height of the fortress wall? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239319 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=239319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Angle of elevation of cliff base = 30/60 deg  ( 60 ' = 1 deg)<BR>\n" );
document.write( "distance on ground = 200 feet<BR>\n" );
document.write( "so height of cliff = 200*Tan(1/2)<BR>\n" );
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document.write( "Angle of elevation of wall top = 45/60 deg<BR>\n" );
document.write( "distance on ground = 200 feet<BR>\n" );
document.write( "so height of cliff+ wall  = 200*Tan(3/4)\r<BR>\n" );
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document.write( "200*tan(3/4)-200*tan(1/2) = height of wall<BR>\n" );
document.write( "= 77.05  feet </SPAN>\n" );
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