Navy Mathematics

Geometry Level 3

A ship leaves a port and sails 10 km 10\text{ km} at a 06 0 060^\circ bearing before turning and travelling 4 km 4\text{ km} on a bearing of 12 0 120^\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 39 km/h \sqrt{39}\text{ km/h} . How much time (in hours) did it take for the ship to return to the port?


The answer is 2.

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