O-LevelMathematicsTrigonometry4024/23 · May/June 2025 · Q198 Marks
The diagram shows triangle ABC and triangle ABD. AB = 12cm, BD = 7 cm and AD = 6cm. Angle DAC = 32° and angle BCA = 48°.
- (a)Calculate angle BAD.[4]
- (b)Calculate AC.[4]
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Mark scheme
Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.
- [4] 24.5[3...]
- B3 for [cos ... = ] 131/144 oe
- or M2 [cos ... = ] 12²+6²-7² / (2×12×6) oe
- or M1 for 7² = 12² + 6² – 2 × 12 × 6 cos (...) oe
- [4] 15.6[3...]
- M1 for [angle ABC ] = (100-their24.5) soi
- M2 for 12sin(their ABC) / sin 48 oe
- or M1 for sin 48 / 12 = sin (their ABC) / AC oe
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