4400 Higher June 2009 Paper 4 Q8
8
(a) 
Give your answer correct to 3 significant figures. (3)
Diagram NOT accurately drawn
Calculate the value of \(x\).Give your answer correct to 3 significant figures. (3)
(b) 
Give your answer correct to 3 significant figures. (3)
Diagram NOT accurately drawn
Calculate the length of \(AB\).Give your answer correct to 3 significant figures. (3)
| Scheme | Marks |
|---|---|
| \(5.1^2 + 3.2^2\) (= 36.25) | M1 |
| \(\sqrt{\text{“}36.25\text{”}}\) | M1 |
| 6.02 | A1 |
| (3) |
Notes
M1: M2 for \(5.1/\cos(\tan^{-1}(3.2/5.1))\) or \(3.2/\sin(\tan^{-1}(3.2/5.1))\)
Must be complete methods
A1: answer rounding to 6.02
| Scheme | Marks |
|---|---|
| tan selected | M1 |
| \(6.5 \times \tan 32^\circ\) | M1 |
| 4.06 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: \(\sin 32^\circ = \dfrac{\text{“}AB\text{”}}{6.5/\cos 32}\) or “\(AB\)”\(/\sin 32 = 6.5/\sin 58\)
M1: \((AB =) \sin 32^\circ \times \dfrac{6.5}{\cos 32}\) or \((AB =) \sin 32 \times 6.5 / \sin 58\)
A1: answer rounding to 4.06