document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=699698>Question 699698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I am standing 36 feet from a circular swimming pool and the distance from me to the point of tangency is 48 feet, what is the radius?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431573 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I am standing 36 feet from a circular swimming pool and the distance from me to the point of tangency is 48 feet, what is the radius?<BR>\n" );
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document.write( "A right triangle is formed: a^2 + b^2 = c^2<BR>\n" );
document.write( "one side a, the radius, center to point of tangency<BR>\n" );
document.write( "one side b, 48 ft, observer to point of tangency<BR>\n" );
document.write( "one side c, (r+36), observer to center (hypotenuse)<BR>\n" );
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document.write( "r^2 + 48^2 = (r+36)^2<BR>\n" );
document.write( "r^2 + 2304 = r^2 + 72r + 1296<BR>\n" );
document.write( "2304 - 1296 = r^2 - r^2 + 72r<BR>\n" );
document.write( "1008 = 72r<BR>\n" );
document.write( "r = 1008/72<BR>\n" );
document.write( "r = 14 ft is the radius of the pool  \r<BR>\n" );
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