4400 Higher June 2008 Paper 4 Q22
22

Diagram NOT accurately drawn
The area of the triangle is 12 cm².
The angle \(x^\circ\) is obtuse.
Calculate the value of \(x\).
(4)
| Scheme | Marks |
|---|---|
| \(\frac{1}{2} \times 6 \times 8 \times \sin x^\circ = 12\) | M1 |
| \(\sin x^\circ = 0.5\) | M1 |
| 30 | A1 |
| \(x = 150\) | A1 |
| (4) | |
| (4 marks) |
Notes
A1: allow \(x = 30\)