document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102012>Question 1102012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a museum of&#8203; art, the most intriguing piece is a line of red yarn 22.05 ft long that dissects the&#8203; room, drawing the eye up and out the window. It extends from point x in the floor of the room to point y in the window 8.7 ft from the floor. How far is point x from point z at the bottom of the window directly below point&#8203; y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716713 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=716713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the yarn forms right triangle xyz where:\r<BR>\n" );
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document.write( "xy is the hypotenuse.<BR>\n" );
document.write( "yz is the vertical side.<BR>\n" );
document.write( "xz is the horizontal side.\r<BR>\n" );
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document.write( "you are given that xy is equal to 22.05 and yz is equal to 8.7.<BR>\n" );
document.write( "xz is what you want to find.\r<BR>\n" );
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document.write( "the pythagorus formula for a right triangle states that c^2 = a^2 + b^2\r<BR>\n" );
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document.write( "c is the hypotenuse and a and b are legs of the right triangle.\r<BR>\n" );
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document.write( "let xy = c and let yz = a and let xz = b and the formula becomes:\r<BR>\n" );
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document.write( "22.05^2 = 8.7^2 + b^2\r<BR>\n" );
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document.write( "solve for b^2 to get b^2 = 22.05^2 - 8.7^2 = 410.5125\r<BR>\n" );
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document.write( "solve for b to get b = sqrt(410.5125) = 20.26110806\r<BR>\n" );
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document.write( "since b = xz, then xz = 20.26110806 also.\r<BR>\n" );
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document.write( "that's the horizontal distance from where the point where the string starts to the point when it intersects with the window.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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