document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160701>Question 1160701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Savio is on a hiking trip. On the first section<BR>\n" );
document.write( "of the hike, he walks 5 km from the Loon<BR>\n" );
document.write( "Campsite to the Owl Campsite. Then, he turns<BR>\n" );
document.write( "and hikes 7 km to the Eagle Campsite, making<BR>\n" );
document.write( "a 68° angle from the first section of the hike.<BR>\n" );
document.write( "He then returns on the trail to the Loon<BR>\n" );
document.write( "Campsite.<BR>\n" );
document.write( "a) What is the distance from the Eagle<BR>\n" );
document.write( "campsite to the Loon campsite, to the<BR>\n" );
document.write( "nearest kilometre?<BR>\n" );
document.write( "b) At what angles are the three campsites<BR>\n" );
document.write( "situated with respect to each other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784086 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=784086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw this with Loon to right, Owl to the left and Eagle above Loon<BR>\n" );
document.write( "Law of cosines: c^2 (the distance from E to L)=a^2+b^2-2ab cos C<BR>\n" );
document.write( "c^2=74-70 cos 68=74-26.22<BR>\n" );
document.write( "=47.78<BR>\n" );
document.write( "c=6.91 km or 7 km\r<BR>\n" );
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document.write( "Law of Sines<BR>\n" );
document.write( "6.91/sin 68=7/sin x<BR>\n" );
document.write( "sin x=7 sin 68/6.91=69.93 degrees for Owl Loon Eagle angle\r<BR>\n" );
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document.write( "the third should be 42.07 degrees<BR>\n" );
document.write( "6.91/sin 68=5/ sin x<BR>\n" );
document.write( "so sin x=5 sin 68/6.91<BR>\n" );
document.write( "=0.6709<BR>\n" );
document.write( "sin(-1) 0.6709=42.13 degrees, within rounding error\r<BR>\n" );
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document.write( "so angles are from O-L-E counterclockwise 68-70-42 degrees </SPAN>\n" );
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