document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158594>Question 1158594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The segments GA and GB are tangent to a circle at A and B, and AGB is a 48-degree angle. Given that GA = 12 cm, find the distance from G to the nearest point on the circle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781714 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=781714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The segments GA and GB are tangent to a circle at A and B, and AGB is a 48-degree angle.<BR>\n" );
document.write( " Given that GA = 12 cm, find the distance from G to the nearest point on the circle.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Draw a line from G, bisecting the 48 degree angle to the center of the circle<BR>\n" );
document.write( "Draw the radius to points A and B<BR>\n" );
document.write( "This forms two right triangles: one side = 12, one side = the radius and the<BR>\n" );
document.write( "hypotenuse the line from G to the center.<BR>\n" );
document.write( "the angles of this triangle, 24, 90 and 66 degrees<BR>\n" );
document.write( "Use the tangent of 24 degrees to find the radius<BR>\n" );
document.write( "tan(24) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F12 ALIGN=MIDDLE  ALT=\"r%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 5.343 is the radius<BR>\n" );
document.write( "Find the hypotenuse (center to point g) using the cosine of 24 degrees<BR>\n" );
document.write( "cos(24) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fh ALIGN=MIDDLE  ALT=\"12%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 13.135<BR>\n" );
document.write( "Find the distance from G to the circle<BR>\n" );
document.write( "13.135 - 5.343 = 7.79 cm from G to the circle </SPAN>\n" );
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