document.write( "Question 1112946: 2 ships leave the same port simultaneously. One ship sails 450 nautical miles on a bearing of 068 degrees, while the other ship sails 600 nautical miles on a bearing of 215 degrees. How far apart are the ships then, correct to the nearest nautical mile. \n" ); document.write( "
Algebra.Com's Answer #728090 by ankor@dixie-net.com(22740)\"\" \"About 
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2 ships leave the same port simultaneously.
\n" ); document.write( " One ship sails 450 nautical miles on a bearing of 068 degrees, while
\n" ); document.write( " the other ship sails 600 nautical miles on a bearing of 215 degrees.
\n" ); document.write( " How far apart are the ships then, correct to the nearest nautical mile.
\n" ); document.write( ":
\n" ); document.write( "Find the angle (A) between the paths of the two ships
\n" ); document.write( "215 - 68 = 147 degrees
\n" ); document.write( "A triangle is formed by the paths of the two ships and the distance between them (a)
\n" ); document.write( "Use the law of cosines
\n" ); document.write( "a^2 = 450^2 + 600^2 - 2(450*600)*cos(147)
\n" ); document.write( "a^2 = 202500 + 360000 - 2(270000)*-.83867
\n" ); document.write( "a^2 = 562500 - (540000 * -.83867)
\n" ); document.write( "a^2 = 562500 + 452882
\n" ); document.write( "a = \"sqrt%281015302%29\"
\n" ); document.write( "a = 1008 miles apart
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