4400 Higher November 2006 Paper 4 Q24
24
Diagram NOT accurately drawn
Calculate the area of the triangle.
Give your answer correct to 3 significant figures.
(4)
| Scheme | Marks |
|---|---|
| eg \(\dfrac{8.6}{\sin 75^\circ} = \dfrac{\text{“}a\text{”}}{\sin 48^\circ}\) or \(\dfrac{\text{“}b\text{”}}{\sin 57^\circ}\) | M1 |
| \(\dfrac{8.6\sin 48^\circ}{\sin 75^\circ}\) or 6.61(....) or \(\dfrac{8.6\sin 57^\circ}{\sin 75^\circ}\) or 7.46(....) | A1 |
| \(\frac{1}{2} \times 8.6 \times \text{“}6.616\text{”} \times \sin 57^\circ\) or \(\frac{1}{2} \times 8.6 \times \text{“}7.467\text{”} \times \sin 48^\circ\) | M1 |
| 23.9 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: dep M1 or \(\frac{1}{2} \times \text{“}6.616\text{”} \times \text{“}7.467\text{”} \times \sin 75^\circ\)