document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493655>Question 493655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two ships depart a port at the same time. One travels 11 degrees west of south at 45 mph while the other travels 22 degrees north of east at 21 mph. How far apart are they after 73 minutes?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335415 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=335415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two ships depart a port at the same time. <BR>\n" );
document.write( "One travels 11 degrees west of south at 45 mph <BR>\n" );
document.write( "x component: cos(270-11) = cos(259) = -0.1908<BR>\n" );
document.write( "y component: sin(259) = -0.9816<BR>\n" );
document.write( "------<BR>\n" );
document.write( "West distance: 45*(73/60)(-0.1908) = -10.45 miles<BR>\n" );
document.write( "South distance: 45*(73/60)(-9816) = -53.74<BR>\n" );
document.write( "------------------------------------------\r<BR>\n" );
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document.write( "while the other travels 22 degrees north of east at 21 mph.<BR>\n" );
document.write( "x component: cos(22) = 0.9272<BR>\n" );
document.write( "y component: sin(22) = 0.3746<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Each distance: 21*73/60*0.9272 = 23.70<BR>\n" );
document.write( "North distance: 21*(73/60)*0.3746 = 9.57\r<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------\r<BR>\n" );
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document.write( " How far apart are they after 73 minutes? <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "d = sqrt[(-10.45-23.70)^2 + (-52.74-9.57)^2]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "d = sqrt[1166.22 + 3882.69]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "d = 71.06 miles<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );