document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729239>Question 729239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two vertical poles on the football field are 20 and 30 meters high. Wires are connected from the top of each pole to the bottom of the other. If the field is perfectly level, and the poles are 50 meters apart, how far above the ground do the two wires cross?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445811 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=445811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let AP = 20 m<BR>\n" );
document.write( "Let BQ = 30 m\r<BR>\n" );
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document.write( "AQ is one rope<BR>\n" );
document.write( "BP is the other rope\r<BR>\n" );
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document.write( "They intersect at M\r<BR>\n" );
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document.write( "WE have to find MT\r<BR>\n" );
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document.write( "In triangle APQ \r<BR>\n" );
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document.write( "Tan AQP = 20/50 = 2/5\r<BR>\n" );
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document.write( "Tan BPQ = 3/5\r<BR>\n" );
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document.write( "Let PT be y<BR>\n" );
document.write( "QT = 50-y\r<BR>\n" );
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document.write( "Let MT =x\r<BR>\n" );
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document.write( "Tan MQT = x/(50-y) = 2/5\r<BR>\n" );
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document.write( "5x=2(50-y)<BR>\n" );
document.write( "5x+2y=100.......................(1)\r<BR>\n" );
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document.write( "Tan MPT= x/y= 3/5\r<BR>\n" );
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document.write( "5x-3y=0.......................(2)\r<BR>\n" );
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document.write( "solve equations (1) & (2)\r<BR>\n" );
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document.write( "5.00	x	+	2.00	y	=	100.00	.............1		<BR>\n" );
document.write( "Total value									<BR>\n" );
document.write( "5.00	x		-3.00	y	=	0.00	.............2		<BR>\n" );
document.write( "Eliminate	y								<BR>\n" );
document.write( "multiply (1)by		3.00							<BR>\n" );
document.write( "Multiply (2) by		2.00							<BR>\n" );
document.write( "15.00	x		6.00	y	=	300.00			<BR>\n" );
document.write( "10.00	x		-6.00	y	=	0.00			<BR>\n" );
document.write( "Add the two equations									<BR>\n" );
document.write( "25.00	x				=	300.00			<BR>\n" );
document.write( "/	25.00								<BR>\n" );
document.write( "x	=	12m							\r<BR>\n" );
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document.write( "If you draw a sketch you will walk through. write to me if you need a sketch </SPAN>\n" );
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