document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=267158>Question 267158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ranger in fire tower A spots a fire at a direction of 40°.  A ranger in fire tower B, which is 28 miles directly east of tower A, spots the same fire at a direction of 50°.  How far from tower B is the fire?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196146 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=196146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ranger in fire tower A spots a fire at a direction of 40°. <BR>\n" );
document.write( "A ranger in fire tower B, which is 28 miles directly east of tower A, spots the same fire at a direction of 50°. <BR>\n" );
document.write( "How far from tower B is the fire? <BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Draw the figure.  Let the fire be at point F<BR>\n" );
document.write( "angle A = 40 degrees<BR>\n" );
document.write( "angle B = 180-58 = 122 degrees<BR>\n" );
document.write( "angle F = 180-(40+122) = 18 degrees<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Use Law of Sines:<BR>\n" );
document.write( "a/sin(40) = 28/sin(18)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "a = sin40[28/sin(18)]<BR>\n" );
document.write( "a = 58.25 miles<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );