4400 Higher June 2007 Paper 4 Q7
7
(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 |
|---|---|
| tan used | M1 |
| \(\tan x = 5.1/4.2\) or \(\tan x = 1.2...\) oe | M1 |
| \(x = 50.5...\) | A1 |
| (3) |
Notes
M1: (sin or cos) & \(\sqrt{4.2^2 + 5.1^2}\) or (6.61) used
M1: \(\sin x = 5.1/\sqrt{4.2^2 + 5.1^2}\) or \(\cos x = 4.2/\sqrt{4.2^2 + 5.1^2}\)
| Scheme | Marks |
|---|---|
| \(\sin 29 = AB/5\) or \(c/\sin 29 = 5/\sin 90\) | M1 |
| \(AB = 5\sin 29\) | M1 |
| \(AB = 2.42...\) cm | A1 |
| (3) | |
| (6 marks) |
Notes
M1: \(BC = 5\cos 29\)
M1: \(AB = \sqrt{5^2 - (5\cos 29)^2}\) or \(5\cos 29 \times \tan 29\)