4400 Higher November 2008 Paper 4 Q14
14
(a) 
Give your answer correct to 3 significant figures. (3)
Diagram NOT accurately drawn
Calculate the value of \(h\).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 area of the triangle.Give your answer correct to 3 significant figures. (3)
| Scheme | Marks |
|---|---|
| \(\frac{6}{h} = \cos 32\) oe | M1 |
| \(h = \frac{6}{\cos 32}\) | M1 |
| 7.08 | A1 |
| (3) |
Notes
M1: \((6\tan 32)^2 + 6^2\) or \(3.75^2 + 6^2\) (= 50.056...)
M1: \(\sqrt{\text{“}50.056..\text{”}}\)
A1: allow 7.07 to 7.08
| Scheme | Marks |
|---|---|
| \(\frac{1}{2} \times 3 \times 7 \times \sin 115\) | M2 |
| 9.52 | A1 |
| (3) | |
| (6 marks) |
Notes
M2: or \(\frac{1}{2} \times 3 \times 7 \times \sin(\text{top angle})\) M1