document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857295>Question 857295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An observer sees that the angle of elevation to the top of a tower, 80m high and due south of her position is 37 degrees.  The top of another tower 60 m high and due west of her position is at an angle of elevation of 28 degrees.  Calculate the distance between the two towers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516475 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=516475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ground distance of the south tower = 80/Tan 37\r<BR>\n" );
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document.write( "ground distance of west tower = 60/Tan 27\r<BR>\n" );
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document.write( "The  plot of towers and the point of observation form a right triangle on ground\r<BR>\n" );
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document.write( "By Pythagoras theorem\r<BR>\n" );
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document.write( "distance between towers = sqrt ((60/tan 27 degrees)^2 +80/tan 37 degrees)^2)\r<BR>\n" );
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document.write( "= 158.5 meters </SPAN>\n" );
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