document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821189>Question 821189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle with center O has a radius of 12cm. The chord AB subtends at an angle of 75 degrees at the center. The tangents to the circle at A and B meet at P.<BR>\n" );
document.write( "Find the length of BP. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494098 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=494098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A circle with center O has a radius of 12cm.<BR>\n" );
document.write( " The chord AB subtends at an angle of 75 degrees at the center.<BR>\n" );
document.write( " The tangents to the circle at A and B meet at P.<BR>\n" );
document.write( "Find the length of BP.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "draw this out. draw a line from O to P, now you have right triangle BPO<BR>\n" );
document.write( "The OP line bisects the 75 degrees, so angle BOP is 37.5 degrees. <BR>\n" );
document.write( "Line BP is opposite this angle, <BR>\n" );
document.write( "Line OB is the radius, 12 cm<BR>\n" );
document.write( "We can use the tangent here<BR>\n" );
document.write( "tan(37.5) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28BP%29%2F12 ALIGN=MIDDLE  ALT=\"%28BP%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "BP = .767327 * 12<BR>\n" );
document.write( "BP = 9.208 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );