document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062292>Question 1062292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a car leaves an intersection traveling at an average speed of 56 miles per hour. ten minutes later a second car leave the same intersection and travels on a road making an angle of 112 with the first car, at an average speed of 54 miles per house. assuming the roads are straight, how far apart are the cars 30 minutes after the first car has left? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677151 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=677151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "                      SPEED          TIME       DISTANCE\r\n" );
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document.write( "FIRSTCAR               56           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56t%29 ALIGN=MIDDLE  ALT=\"56t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "SECCAR                 54            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B1%2F6 ALIGN=MIDDLE  ALT=\"t%2B1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2A%28t%2B1%2F6%29 ALIGN=MIDDLE  ALT=\"54%2A%28t%2B1%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "DISTANCE 112 Degrees                            Law Of Cosines\r\n" );
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document.write( "Careful with Law of Cosines.  The angle between the cars is 112 degrees and the cosine must be the negative value.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-cos%28112-90%29=-cos%2822%29=-0.92718=cos%28112%29 ALIGN=MIDDLE  ALT=\"-cos%28112-90%29=-cos%2822%29=-0.92718=cos%28112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Distance d between the cars any time t is  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2856t%29%5E2%2B%2854%28t%2B1%2F6%29%29%5E2-2%2856t%29%2854%28t%2B1%2F6%29%29%28-0.92718%29=d%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2Ad=sqrt%28%2856t%29%5E2%2B%2854%28t%2B1%2F6%29%29%5E2-2%2856t%29%2854%28t%2B1%2F6%29%29%28-0.92718%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is the formula.  Simplify any way you like, and then substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=1%2F2 ALIGN=MIDDLE  ALT=\"t=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to evaluate d. </SPAN>\n" );
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