document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149835>Question 149835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am not understanding how to work this problem. Any help would be greatly appreciated!!!!\r<BR>\n" );
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document.write( "A string it streched from the floor up to the top of a tower. The string is 10 feet long. The height of the tower is 2ft greater than the distance d from the towers base to the end of the string. Find the distance d and the height of the tower.                 Thank you so much!!!!!!!!!!!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109965 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let d = distance from the tower's base to the end of the string<BR>\n" );
document.write( "d+2 = height of tower<BR>\n" );
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document.write( "d^2 + (d+2)^2 = 10^2<BR>\n" );
document.write( "d^2 + (d^2+4d+4) = 100<BR>\n" );
document.write( "2d^2 + 4d + 4 = 100<BR>\n" );
document.write( "2d^2 + 4d - 96 = 0<BR>\n" );
document.write( "d^2 + 2d - 48 = 0<BR>\n" );
document.write( "factoring:<BR>\n" );
document.write( "(d-6)(d+8) = 0<BR>\n" );
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document.write( "d = {-8, 6}<BR>\n" );
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document.write( "Since a negative answer doesn't make sense it must be:<BR>\n" );
document.write( "d = 6 feet <BR>\n" );
document.write( "d+2= 8 feet (height of tower)<BR>\n" );
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