document.write( "Question 550181: Two ships leave from the same location with an angle of 57 degrees between their path. If ship A travels at 36 kph and ship B travels at 42 kph , how far apart are they after 1/2 hour ? \n" ); document.write( "
Algebra.Com's Answer #358519 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Two ships leave from the same location with an angle of 57 degrees between their path.
\n" ); document.write( " If ship A travels at 36 kph and ship B travels at 42 kph , how far apart are they after 1/2 hour?
\n" ); document.write( ":
\n" ); document.write( "Find the distance each ship will travel in .5 hrs
\n" ); document.write( "Ship A: 36*.5 = 18 km
\n" ); document.write( "Ship B: 42*.5 = 21 km
\n" ); document.write( ":
\n" ); document.write( "This is side/angle/side. Use the law of cosines: a^2 = b^2 + c^2 - 2bc*cos(A)
\n" ); document.write( "Where
\n" ); document.write( "a = side opposite angle 57 degrees (distance between the ships)
\n" ); document.write( "A = 57 degrees
\n" ); document.write( "b = 21
\n" ); document.write( "c = 18
\n" ); document.write( ":
\n" ); document.write( "a^2 = 21^2 + 18^2 - 2(18*21)*cos(57)
\n" ); document.write( "a^2 = 441 + 324 - 2(378*.54464)
\n" ); document.write( "a^2 = 765 - 411.75
\n" ); document.write( "a^2 = 353.25
\n" ); document.write( "a = \"sqrt%28353.25%29\"
\n" ); document.write( "a = 18.8 km apart after a half hour \n" ); document.write( "
\n" );