Three radio towers A, B and C form a triangular network. Tower B is on a bearing of 075° from A. Tower C is on a bearing of 155° from A. What is the angle BAC measured at tower A?

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Question

Three radio towers A, B and C form a triangular network. Tower B is on a bearing of 075° from A. Tower C is on a bearing of 155° from A. What is the angle BAC measured at tower A?

Accepted Answer

80° — Award 1 mark for correct answer. The angle BAC is the difference between the two bearings: 155° − 075° = 80°. A is incorrect — calculates 155° − 105° using wrong second angle. C is incorrect — calculates 180° − 80°. D is incorrect — adds instead of subtracting: 155° − 25°.

Answer

100°

Answer

80°

Answer

50°

Answer

130°

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