document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194865>Question 194865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two ships leave harbor at the same time. The first sails North 15 degress West at 25 knots. The second sails North 32 degress East at 20 knots. After 2 hours, how far apart are the ships? \r<BR>\n" );
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document.write( "Is there a formula I have to follow? Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146210 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=146210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two ships leave harbor at the same time. <BR>\n" );
document.write( "The first sails North 15 degress West at 25 knots. <BR>\n" );
document.write( "The second sails North 32 degress East at 20 knots. <BR>\n" );
document.write( "After 2 hours, how far apart are the ships?<BR>\n" );
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document.write( "From the given headings we can say the angle between the courses of the two ships:<BR>\n" );
document.write( "15 + 32 = 47 degrees<BR>\n" );
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document.write( "After two hrs <BR>\n" );
document.write( "the 1st ship will have traveled 2*25 = 50 mi<BR>\n" );
document.write( "the 2nd ship will have traveled 2*20 = 40 mi<BR>\n" );
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document.write( "We can use the law of cosines for a side/angle/side problem<BR>\n" );
document.write( "a^2 = b^2 + c^2 - (2bc * cos(A))<BR>\n" );
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document.write( "Assign the values as follows<BR>\n" );
document.write( "a = distance between ships after 2 hr (side opposite angle A)<BR>\n" );
document.write( "b = 50<BR>\n" );
document.write( "c = 40<BR>\n" );
document.write( "A = 47 degrees<BR>\n" );
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document.write( "a^2 = 50^2 + 40^2 - (2*50*40 * cos(47))<BR>\n" );
document.write( "a^2 = 2500 + 1600 - (4000*.682)<BR>\n" );
document.write( "a^2 = 4100 - 2728<BR>\n" );
document.write( "a^2 = 1372<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281372%29 ALIGN=MIDDLE  ALT=\"sqrt%281372%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 37 mi apart </SPAN>\n" );
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