document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277029>Question 277029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From a point 250 m from the base of a vertical cliff, the angles of elevation to the top and bottom of a radio tower on top of the cliff are 62.2 degrees and 59.5 degrees. How tall is the tower? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201777 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201777\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the larger angle = 62.2 degrees\r<BR>\n" );
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document.write( "let y be the smaller angle = 59.5 degrees.\r<BR>\n" );
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document.write( "let a be the vertical distance from the base of the vertical cliff to the top of the tower.\r<BR>\n" );
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document.write( "let b be the vertical distance from the base of the vertical cliff to the bottom of the tower.\r<BR>\n" );
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document.write( "the height of the tower would be a minus b.\r<BR>\n" );
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document.write( "tan(x) = opposite/adjacent = a/250\r<BR>\n" );
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document.write( "tan(y) = opposite/adjacent = b/250\r<BR>\n" );
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document.write( "this means that a = 250*tan(x).\r<BR>\n" );
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document.write( "this also means that b = 250*tan(y).\r<BR>\n" );
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document.write( "this also means that a - b = 250*tan(x) - 250*tan(y) which means that:\r<BR>\n" );
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document.write( "a-b = 250*(tan(x)-tan(y).\r<BR>\n" );
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document.write( "finally, this means that:\r<BR>\n" );
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document.write( "a-b = 250 * (tan(62.2) - tan(59.5)).\r<BR>\n" );
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document.write( "we use our calculator to find the tangents and plug into the formula to get\r<BR>\n" );
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document.write( "a-b = 250 * (1.896668769 - 1.697663119) which becomes:\r<BR>\n" );
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document.write( "a-b = 250 * .19900565 which becomes:\r<BR>\n" );
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document.write( "a-b = 49.75141253 meters.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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