document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122327>Question 1122327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ship S is sighted from two lighthouses B and U which are 16 km apart. If m&#8736;SBU= 27° and m&#8736;SUB= 65°. Find the distance from S to the nearer lighthouse.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738416 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw this out.  The nearest lighthouse is U  as SU is opposite the smallest angle, SBU, in the triangle.<BR>\n" );
document.write( "Law of Sines: the distance between the two lighthouses, 16 km, is opposite to the angle BSU, which is 88 degrees, since we know the other two angles of the triangle.\r<BR>\n" );
document.write( "\n" );
document.write( "16/sin 88=x/sin 27<BR>\n" );
document.write( "x=16*sin 27/sin 88<BR>\n" );
document.write( "x=7.27 km </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );