document.write( "Question 438239: Please help with this question,I'm really stock.I need this tomorrow.Thank you..
\n" ); document.write( "A cross country race course on flat ground has runners,Jedd and Rodney, heading from point A for 3.5km on a bearing of 047degrees temperature to point B. From B they turn and run for 2.8km on a bearing of 342degrees temperature to point C. They then run back to point A.
\n" ); document.write( "(a.) Determine the distance from C back to A.
\n" ); document.write( "(b.) At what bearing does the course follow from C back to A?
\n" ); document.write( "

Algebra.Com's Answer #303135 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
A cross country race course on flat ground has runners,Jedd and Rodney, heading from point A for 3.5km on a bearing of 047degrees temperature to point B. From B they turn and run for 2.8km on a bearing of 342degrees temperature to point C. They then run back to point A.
\n" ); document.write( "(a.) Determine the distance from C back to A.
\n" ); document.write( "(b.) At what bearing does the course follow from C back to A?
\n" ); document.write( "-----------------
\n" ); document.write( "These degrees have nothing to do with temperature ??? They're compass headings. No wonder you're \"stock.\"
\n" ); document.write( "------------
\n" ); document.write( "0 degrees is North. 047 degs is 47 degrees to the East of North. If you make a sketch, you'll see that angle CBA = 115 degrees (not a heading)
\n" ); document.write( "Now you have a triangle with 2 sides and the included angle.
\n" ); document.write( "Use the Cosine Law to find side AC, side b.
\n" ); document.write( "\"b%5E2+=+a%5E2+%2B+c%5E2+-+2%2Aa%2Ac%2Acos%28115%29\"
\n" ); document.write( "\"b%5E2+=+12.25+%2B+7.84+-+2%2A3.5%2A2.8%2Acos%28115%29\"
\n" ); document.write( "\"b%5E2+=+28.3733\"
\n" ); document.write( "b =~ 5.32666 km
\n" ); document.write( "= distance from C to A
\n" ); document.write( "---------------
\n" ); document.write( "---------------
\n" ); document.write( "Find angle C using the Law of Sines:
\n" ); document.write( "b/sin(115) = 3.5/sin(C)
\n" ); document.write( "sin(C) = 3.5*sin(115)/b =~ 0.5955
\n" ); document.write( "Angle C = 36.55 degs (not a heading)
\n" ); document.write( "---------------------
\n" ); document.write( "The heading from A to C = 047 - 36.55 =~ 010
\n" ); document.write( "From C to A is the reciprocal,
\n" ); document.write( "Heading = 190 degrees
\n" ); document.write( "
\n" ); document.write( "
\n" );