O-LevelMathematicsTrigonometry4024/21 · Oct/Nov 2018 · Q37 Marks
The diagram shows a triangular field ABC. AB = 95 m, BC = 132m and AC = 174 m. [Figure 3.1]
- (a)Show that BÂC = 48.6°, correct to 1 decimal place.[3]
- (b)The field is sown with flower seeds. Each square metre of the field is sown with 3 grams of seed. The seed costs $8.50 for 100 grams. Calculate the cost of the flower seed needed for the field.[4]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [M2] or M1 for 132^2 = 95^2 + 174^2 – 2 × 95 × 174 × cos A
- [A1] A = 48.56[7...] or 48.57
- [4] 1580 to 1581
- M1 for 1/2 × 95 × 174 × sin 48.6
- AND
- M2 for their area × 3 ÷ 100 × 8.50
- or M1 for two operations correct in their area × 3 ÷ 100 × 8.50
- or for 3 ÷ 100 × 8.50 soi
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