The diagram shows the positions of three ports A, B and C. The bearing of port B from port A is 107°. The bearing of port C from port A is 192°. AB = 176 km and AC = 132 km.

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

1. [1] 287
2. [4] 211 or 210.5 to 210.6
3. [4] B1 for angle CAB = 85 soi
4. [4] B2 for 44350.[...]
5. [4] or M2 for √(176² + 132² - 2×176×132cos(their85)) oe
6. [4] or M1 for 176² + 132² - 2×176×132cos(their85) oe
7. [5] 40
8. [5] If hours and minutes used, apply first scheme
9. [5] M2 for (176/48) × 60 oe soi
10. [5] or M1 for 176/48 oe
11. [5] OR
12. [5] M2 for 176/48 and 7/60 or and 15/60 oe soi
13. [5] or M1 for 176/48 oe
14. [5] AND
15. [5] M2 for 132/((their 220)-15-7)[×60] oe
16. [5] or M1 for 1.33pm oe
17. [5] or (their 220) – 15 – 7 oe
18. [5] or (132/(their 220+k)) × 60 oe
19. [5] OR
20. [5] M2 for 132/((their (176/48) - 15/60) - 7/60) oe
21. [5] or M1 for (their (176/48) - 15/60) oe
22. [5] or (132/(their (176/48)+k)) oe