4400 Higher November 2010 Paper 3 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 value of \(y\).Give your answer correct to 3 significant figures. (3)
| Scheme | Marks |
|---|---|
| \(\frac{x}{9} = \tan 36^\circ\) or \(\tan 36^\circ\) or 0.726.. seen | M1 |
| \(9 \times \tan 36^\circ\) | M1 |
| 6.54 | A1 |
| (3) |
Notes
M1: \(x^2 + 9^2 = (9/\cos 36)^2\) oe (e.g. \(x^2 + 9^2 = 11.12^2\))
M1: \(\sqrt{(9/\cos 36)^2 - 9^2}\)
A1: awrt 6.54 use isw if better seen in body
| Scheme | Marks |
|---|---|
| \(10^2 = 4.5^2 + y^2\) oe | M1 |
| \(\sqrt{10^2 - 4.5^2}\) or \(\sqrt{79.75}\) | M1 |
| 8.93 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: or \(10^2 - 4.5^2\)
M1: M2 for \(4.5 \times \tan(\cos^{-1}\frac{4.5}{10})\)
A1: awrt 8.93 use isw if better seen in body