document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=483951>Question 483951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ajax is 8 km due west of Oshawa. Uxbridge is 16 km NW of Oshawa. How far is it from Ajax to Uxbridge? Explain whether you have enough information to solve this problem.\r<BR>\n" );
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document.write( "my answer was 13.856 km but not confident how I found the angle oshawa to begin with.  I used Cos Oshawa = a/h = 8/16, cos-1  0.5=60 degrees.  \r<BR>\n" );
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document.write( "Please confirm if done correctly...many thanks.<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 #331240 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=331240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ajax is 8 km due west of Oshawa. Uxbridge is 16 km NW of Oshawa. <BR>\n" );
document.write( "How far is it from Ajax to Uxbridge?<BR>\n" );
document.write( " Explain whether you have enough information to solve this problem. <BR>\n" );
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document.write( "This does not form a right triangle, however we know that the angle at Oshawa is 45 degrees, (NW with W forms a 45 degrees)<BR>\n" );
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document.write( "Let this angle be A, then a = the dist from Ajax to Uxbridge<BR>\n" );
document.write( "Using the law of cosine to find a<BR>\n" );
document.write( "a^2 = b^2 + c^2 - 2bc*cos(A)<BR>\n" );
document.write( "where<BR>\n" );
document.write( "a = dist from Ajax to Uxbridge<BR>\n" );
document.write( "b=8<BR>\n" );
document.write( "c=16<BR>\n" );
document.write( "A=45<BR>\n" );
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document.write( "a^2 = 8^2 + 16^2 - 2(8*16)*cos(45)<BR>\n" );
document.write( "a^2 = 64 + 256 - 2(128)*.707<BR>\n" );
document.write( "a^2 = 320 - 256*.707<BR>\n" );
document.write( "a^2 = 320 - 181<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28139%29 ALIGN=MIDDLE  ALT=\"sqrt%28139%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 11.79 km </SPAN>\n" );
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