document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=803232>Question 803232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two ships leave a harbor at the same time, traveling on courses that have an angle of 120 ^\circ between them. If the first ship travels at 20 miles per hour and the second ship travels at 37 miles per hour, how far apart are the two ships after 1.7 hours? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484259 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=484259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two ships leave a harbor at the same time, traveling on courses that have an angle of 120 ^\circ between them.<BR>\n" );
document.write( " If the first ship travels at 20 miles per hour and the second ship travels at 37 miles per hour, how far apart are the two ships after 1.7 hours? <BR>\n" );
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document.write( "Find how far each ship has traveled in 1.7 hrs<BR>\n" );
document.write( "First: 1.7 * 20 = 34 miles<BR>\n" );
document.write( "2nd: 1.7 * 37 ~ 63 miles<BR>\n" );
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document.write( "Use the law of cosines a^2 = b^2 + c^2 - 2(bc)*cos(A); where<BR>\n" );
document.write( "a = distance between the ships after 1.7 hrs<BR>\n" );
document.write( "A = 120 degrees<BR>\n" );
document.write( "b = 34 mi<BR>\n" );
document.write( "c = 63 mi<BR>\n" );
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document.write( " a^2 = 34^2 + 63^2 - 2(34*63)*cos(120)<BR>\n" );
document.write( " a^2 = 1156 + 3969 - 2(2142)*-.5<BR>\n" );
document.write( " a^2 = 5125 - (-2142)<BR>\n" );
document.write( " a^2 = 5125 + 2142<BR>\n" );
document.write( " a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287267%29 ALIGN=MIDDLE  ALT=\"sqrt%287267%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " a ~ 85 miles apart in 1.7 hrs<BR>\n" );
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