# 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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