SOLUTION: 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
Algebra.Com
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.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
:
Find the angle (A) between the paths of the two ships
215 - 68 = 147 degrees
A triangle is formed by the paths of the two ships and the distance between them (a)
Use the law of cosines
a^2 = 450^2 + 600^2 - 2(450*600)*cos(147)
a^2 = 202500 + 360000 - 2(270000)*-.83867
a^2 = 562500 - (540000 * -.83867)
a^2 = 562500 + 452882
a =
a = 1008 miles apart
RELATED QUESTIONS
Two ships sail out from a harbour at the same time. One sails on a bearing of 015 degrees (answered by jim_thompson5910)
two ships leave port. the first ship A travels bearing of 033 degrees while B travels... (answered by Fombitz)
Two ships leave port at noon. One ship sails north at 6 miles per hour and the other... (answered by Alan3354)
Two ships leave port at the same time. One ship takes a bearing of 26± East of due... (answered by lwsshak3)
Two ships leave port at the same time and travel at right angles to each other. One ship... (answered by mananth)
Two ships leave the same port at the same time along paths that make an angle of 115o... (answered by lwsshak3)
A ship is 30 nautical miles from port, the bearing from the ship to port is N20°E.
a)... (answered by Theo)
Two ship leaves a port at the same time. The first ship sails on a course of 32° at 15... (answered by Alan3354)
A ship A, sailing in a straight line with constant speed, is 10 nautical miles SW of a... (answered by ankor@dixie-net.com)