2025 CGSS PRELIMS P1 Q6

2025 CGSS PRELIMS P1 Q6

Secondary 4
4 marks

The diagram shows 3 lighthouses \(A\), \(B\) and \(C\) at sea. \(AC=12\text{ km}\), \(BC=18\text{ km}\), and \(AB=17\text{ km}\). The bearing of \(B\) from \(C\) is \(136^\circ\).

  1. Find the bearing of \(A\) from \(C\).[2]
  2. Find the area of the region enclosed by triangle \(ABC\).[2]

Solution:

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Answer:(i) \(070.5^\circ\) (ii) \(98.3\text{ km}^2\)

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