document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978026>Question 978026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 4.00 m to the north, 2.10 m 44 degrees northeast, and 1.00 m at 35.0° west of south. Starting at the same initial point, an expert golfer could make the hole in what single displacement? <BR>\n" );
document.write( "please I need your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599518 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=599518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw this and you have a vertical line going N for 4 meters<BR>\n" );
document.write( "Then you have an internal angle of 136, which is the N and 46 degrees (the complement of 44 E of N.)  That goes 2.1 meters.  Those sides are a and b.<BR>\n" );
document.write( "Side c has the hole, 215 degrees, or a 9 degree angle with the last shot (reciprocal bearing of 44 is 224).  <BR>\n" );
document.write( "Law of Cosines is c^2=a^2+b^2-2ab cos C\r<BR>\n" );
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document.write( "c^2= 16+4.41-2(4)(2.1) cos 136<BR>\n" );
document.write( "c^2= 20.41-16.2(-0.7193)=20.41+11.65=32.06<BR>\n" );
document.write( "c=sqrt(32.06)=5.66 meters\r<BR>\n" );
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document.write( "The first person used 7.10 meters, so this is 1.44 meters shorter. </SPAN>\n" );
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