document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=723868>Question 723868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help! Thank you in advance! \r<BR>\n" );
document.write( "\n" );
document.write( "Two ships A and B start from the same port at 8am. Ship A heads north 62 degrees 15 minutes east with a speed of 12 km/hr. Ship B takes the course of north 48 degrees 20 minutes west with the speed of 16 km/hr. How far apart are they at 10:45am? What is the bearing of B from A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443447 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=443447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two ships A and B start from the same port at 8am. Ship A heads north 62 degrees 15 minutes east with a speed of 12 km/hr. Ship B takes the course of north 48 degrees 20 minutes west with the speed of 16 km/hr. How far apart are they at 10:45am? What is the bearing of B from A?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Draw the picture.<BR>\n" );
document.write( "Distance for A = side A = rate*time = 12*2.75 = 30 km<BR>\n" );
document.write( "Distance for B = side B = rate*time = 16*2.75 = 40 km<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Angle made by the two sides = C = 62.25+48.33 = 110.58 degrees<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Solve for side \"c\" using the Law of Cosines.<BR>\n" );
document.write( "c^2 = a^2 + b^2-2ab*cos(C)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "c = sqrt(3343.63) = 57.82 km<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Bearing of B from A = 110.58 degrees<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H<BR>\n" );
document.write( "----<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );