Higher June 2017 Paper 2 Q20
20 Work out the size of angle \(x\).
Not drawn accurately
[3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{\sin x}{6} = \dfrac{\sin 125}{14}\) or \(\dfrac{6}{\sin x} = \dfrac{14}{\sin 125}\) | M1 | oe eg \(\dfrac{\sin x}{6} = 0.058(\ldots)\) or 0.059 or 0.06 or \(\dfrac{6}{\sin x} = 17.(0\ldots)\) or 17.1 |
| \((\sin x =)\ \dfrac{\sin 125}{14} \times 6\) or 0.35(1…) | M1dep | oe eg \(\sin^{-1}\left(\dfrac{\sin 125}{14} \times 6\right)\) |
| [20.5, 20.6] or 21 | A1 |
Additional guidance
| Condone incorrect notation if recovered eg \(x = \dfrac{\sin 125}{14} \times 6\) Answer 20.6 | M2 A1 |
| \(\dfrac{\sin}{6} = \dfrac{\sin 125}{14}\) not recovered | Zero |
| Answer [20.5, 20.6] from scale drawing | M1M1A1 |
| Answer 21 from scale drawing | Zero |
| Answer only [20.5, 20.6] or 21 | M1M1A1 |