Two boats A and B Left a Port at the same time on different routes. B travelled on a bearing of 150º and A travelled on the North side of B. When A had travelled 8km and B had travelled 10km, the distance between the two boats was found to be 12km. Calculate the bearing of A's route from C.

Question

Everett Merritt

Mathematics

17 August, 00:44

Two boats A and B Left a Port at the same time on different routes. B travelled on a bearing of 150º and A travelled on the North side of B. When A had travelled 8km and B had travelled 10km, the distance between the two boats was found to be 12km. Calculate the bearing of A's route from C.

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Answers (1)

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Jacob Sloan · Answer 1

Answer: 67.2°

Step-by-step explanation:

To find angle C, we have to use cosine rule. Therefore,

12² = 8² + 10² - 2 * 8 * 10 * cosC

C = 82.8°

The bearing of A from C will be

= 150° - 82.8°

= 67.2°.