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)![]() ![]() You can put this solution on YOUR website! 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 = \n" ); document.write( "a = 1008 miles apart \n" ); document.write( " |