Higher June 2018 Paper 2 Q6
6.
Diagram not drawn to scale
(a) Calculate the length \(x\). [3]
(b) Calculate the size of angle \(y\). [3]
| Scheme | Marks | Comments |
|---|---|---|
| \(x^2 = 96.05\) or \((x =)\ \sqrt{96.05}\) | M2 | M1 for \((x^2 =)\ 4.7^2 + 8.6^2\) |
| 9.8(cm) | A1 | FT from M1 for the correctly evaluated square root of ‘their 96.05’ provided ‘their answer’ > 8.6 (cm) |
| Scheme | Marks | Comments |
|---|---|---|
| \((y=)\ \sin^{-1}8.6/12.1\) or \(\sin^{-1}0.7107..\) | M2 | M1 for \(\sin y = 8.6/12.1\) |
| \(45(.295\ldots^\circ)\) or \(45.3(^\circ)\) | A1 | ISW, i.e. do not accept \(45.2(^\circ)\) unless at least \(45.29(5\ldots^\circ)\) seen previously Do not accept \(45^\circ\) without further explanation |
| (6) |