document.write( "Question 1202323: Two boats A and B left a port C at the same
\n" ); document.write( "time on different routes. B travelled on a
\n" ); document.write( "bearing of 150° and A travelled on the north
\n" ); document.write( "side of B. When A had travelled 8 km and
\n" ); document.write( "B had travelled 10 km, the distance between
\n" ); document.write( "the two boats was found to be 12 km.
\n" ); document.write( "Calculate the bearing of A's route from C. \n" ); document.write( "
Algebra.Com's Answer #837065 by Alan3354(69443)\"\" \"About 
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Two boats A and B left a port C at the same time on different routes.
\n" ); document.write( "B travelled on a bearing of 150° and A travelled on the north side of B. When A had travelled 8 km and B had travelled 10 km, the distance between
\n" ); document.write( "the two boats was found to be 12 km. Calculate the bearing of A's route from C.
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\n" ); document.write( "3 sides of a triangle are given:
\n" ); document.write( "CB = a = 10
\n" ); document.write( "CA = b = 8
\n" ); document.write( "AB = c =12
\n" ); document.write( "Find the angle C using the Cosine Law:
\n" ); document.write( "c^2 = a^2 + b^2 - 2*a*b*cos(C)
\n" ); document.write( "144 = 100 + 64 - 2*10*8*cos(C)
\n" ); document.write( "cos(C) = -20/-160 = 1/8
\n" ); document.write( "C =~ 82.82 degs
\n" ); document.write( "Bearing = 150 - C =~ 67.2 degs
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\n" ); document.write( "I'll email a graph and method later today. \n" ); document.write( "
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