A cargo ship leaves Bridgetown, Barbados, and sails 85 km on a bearing of 040°. It then changes course and sails 65 km on a bearing of 130°. To return directly to Bridgetown, the ship needs to calculate its displacement. What is the angle between the two legs of the journey?

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Question

A cargo ship leaves Bridgetown, Barbados, and sails 85 km on a bearing of 040°. It then changes course and sails 65 km on a bearing of 130°. To return directly to Bridgetown, the ship needs to calculate its displacement. What is the angle between the two legs of the journey?

Accepted Answer

90° — Award 1 mark for calculating 130° - 40° = 90°. The angle between the two paths is found by subtracting the first bearing from the second bearing. B is incorrect because it gives the second bearing, not the angle between paths. C is incorrect because it gives the first bearing. D is incorrect calculation.

Answer

90°

Answer

130°

Answer

40°

Answer

170°

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