document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551512>Question 551512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 75-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 15 ft longer than the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359773 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=359773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let height be x ft<BR>\n" );
document.write( "horizontal distance = x+5 ft\r<BR>\n" );
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document.write( "hypotenuse = 75\r<BR>\n" );
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document.write( "Pythagoras theorem states that		<BR>\n" );
document.write( "		<BR>\n" );
document.write( "Hypotenuse ^2= leg1^2+leg2^2		<BR>\n" );
document.write( "		<BR>\n" );
document.write( "Hypotenuse =	75	ft<BR>\n" );
document.write( "leg1 = 	x	ft<BR>\n" );
document.write( "leg2 = x+5<BR>\n" );
document.write( "		<BR>\n" );
document.write( "75^2=x^2+(x+5)^2<BR>\n" );
document.write( "75^2=x^2+x^2+10x+25<BR>\n" );
document.write( "2x^2+10x-5600=0<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "x^2+5x-2800=0<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula						<BR>\n" );
document.write( "					20	<BR>\n" );
document.write( "a=	1	,b=	5	,c=	-2800	<BR>\n" );
document.write( "						<BR>\n" );
document.write( "b^2-4ac=	25	+	11200			<BR>\n" );
document.write( "b^2-4ac=	11225					<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-12%2B21%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x1=%28-12%2B21%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >						<BR>\n" );
document.write( "x1=(	-5	+	105.95	)/2		<BR>\n" );
document.write( "x1=	50.47					<BR>\n" );
document.write( "x2=(	-5	-105.95	) /	2		<BR>\n" );
document.write( "x2= 	-55.47					<BR>\n" );
document.write( "height = 50.47<BR>\n" );
document.write( "horizontal length = (50.47+5)=55.47 ft<BR>\n" );
document.write( " </SPAN>\n" );
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