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 Nor

Question

2 years ago

13

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 Nor

th 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.

Mathematics

1 answer:

adell [148] · Answer 1 · 2022-10-07T01:18:33+03:00

adell [148]2 years ago

6 0

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°.