Advanced Bearings Navigation Problem

00:00 6 marks

A vessel departs from port and follows a multi-leg journey as follows:

– Leg 1: Travels 80 km on a bearing of 045°.
– Leg 2: Continues for 100 km on a bearing of 150°.
– Leg 3: Finally, sails 60 km on a bearing of 270°.

Using these legs, determine the overall resultant bearing and the straight-line distance from the starting point to the final position.

Part a

5 minutes 3 marks

Question

Calculate the resultant bearing from the starting point to the final position by summing the vector components of each leg.

Hint Hint

Hint

Convert each leg’s bearing to its north and east components before summing.

Answer Answer
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Explanation Explanation
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Answer Answer

Complete Answer

Approximately 123°

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Part b

7 minutes 3 marks

Question

Determine the straight-line distance from the starting point to the final position of the vessel.

Hint Hint

Hint

Apply the Pythagorean theorem to the summed east and north displacements.

Answer Answer
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Explanation Explanation
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Answer Answer

Complete Answer

Approximately 55.4 km

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