Foundation June 2018 Paper 2 Q23
23.
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 \(\sin^{-1} 0.7107\ldots\) | M2 | M1 for \(\sin y = 8.6/12.1\) |
| 45(.295…\(^\circ\)) or 45.3(\(^\circ\)) | A1 | ISW, i.e. do not accept 45.2(\(^\circ\)) unless at least 45.29(5…\(^\circ\)) seen previously Do not accept 45\(^\circ\) without further explanation |
| (6) |