Navy Mathematics

Geometry Level 3

A ship leaves a port and sails \(10\text{ km}\) at a \(060^\circ\) bearing before turning and travelling \(4\text{ km}\) on a bearing of \(120^\circ\) where it stops at a rig. After some time, the ship leaves the rig and heads directly at the port with a speed of \(\sqrt{39}\text{ km/h}\). How much time (in hours) did it take for the ship to return to the port?

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