document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264217>Question 264217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ladder leaning against a house makes an angle of 30 degrees with the ground. the foot of the ladder is 7 feet from the foot of the house. How long is the ladder to the nearest foot? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194548 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=194548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ladder leaning against a house makes an angle of 30 degrees with the ground. the foot of the ladder is 7 feet from the foot of the house. How long is the ladder to the nearest foot?\r<BR>\n" );
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document.write( "Let L be the length of the ladder. The ladder and the side of the house form a right triangle with the ladder being the hypotenuse and the house wall being the side opposite the 30 degree angle. We have a theorem that says that in a right triangle the side opposite a 30 degree angle is half the hypotenuse, in this case L/2. \r<BR>\n" );
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document.write( "So by Pythagorean Theorem we have:\r<BR>\n" );
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document.write( "L^2 = (L/2)^2 + 7^2 or<BR>\n" );
document.write( "L^2 = (L^2)/4 + 49\r<BR>\n" );
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document.write( "Solve the above for L.   </SPAN>\n" );
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