document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39881>Question 39881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are standing 8 feet from a circular swimming pool.  The distance to a <BR>\n" );
document.write( "point of tangency is 16 feet.  What is the radius of the pool? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25534 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make yourself a diagram such that the distance from the center of the pool to you is 8 + r and the distance to the tangent is 16.  It should be a right triangle, since the radius meets a tangent at a right angle.  Via the Pythagorean Theorem, we have<BR>\n" );
document.write( "r^2 + 16^2 = (r + 8)^2<BR>\n" );
document.write( "r^2 + 256 = r^2 + 16r + 64<BR>\n" );
document.write( "256 = 16r + 64<BR>\n" );
document.write( "16r = 192<BR>\n" );
document.write( "r = 12 feet </SPAN>\n" );
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