document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549103>Question 549103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on a word problem.<BR>\n" );
document.write( "A 20 meter ladder and a 15 meter ladder were leaned against a building. The bottom of the longer ladder was 7 meters farther from the building than the bottomof the shorter ladder, but both ladders reached the same distance up the building. Find the distance the ladders reached up the building.\r<BR>\n" );
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document.write( "I don't even remember how to begin to do this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357462 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=357462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help on a word problem.<BR>\n" );
document.write( "A 20 meter ladder and a 15 meter ladder were leaned against a building. The bottom of the longer ladder was 7 meters farther from the building than the bottomof the shorter ladder, but both ladders reached the same distance up the building. Find the distance the ladders reached up the building.<BR>\n" );
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document.write( "Draw the two right triangle.<BR>\n" );
document.write( "longer hypotenuse = 20 meters; shorter hypotenuse = 15 meters<BR>\n" );
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document.write( "longer base = x+7 ; shorter base = x<BR>\n" );
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document.write( "height for both is the same<BR>\n" );
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document.write( "20^2 = h^2 + (x+7)^2<BR>\n" );
document.write( "15^2 = h^2 + x^2<BR>\n" );
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document.write( "Subtract to solve for \"x\":<BR>\n" );
document.write( "175 = (x^2+14x+49) - x^2<BR>\n" );
document.write( "14x+48 = 175<BR>\n" );
document.write( "14x = 127<BR>\n" );
document.write( "x = 9.07 meters<BR>\n" );
document.write( "x+7 = 16.07 meters<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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