Higher June 2022 Paper 3 Q21
21
Not drawn accurately
Use the sine rule to work out the size of angle \(x\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{\sin x}{17} = \dfrac{\sin 64}{23}\) or \(\sin x = \dfrac{17 \sin 64}{23}\) or \(\sin x = \dfrac{15.279\ldots}{23}\) or \(\dfrac{\sin x}{17} = 0.039\ldots\) or \(\sin x = 0.66(4\ldots)\) | M1 | oe \(\dfrac{17}{\sin x} = \dfrac{23}{\sin 64}\) or \(\dfrac{17}{\sin x} =\) [25.58, 25.6] |
| (\(x\) =) \(\sin^{-1} \dfrac{17 \sin 64}{23}\) or (\(x\) =) \(\sin^{-1} 0.66(4\ldots)\) | M1dep | |
| [41.29, 41.64] or 42 or 41 from correct working | A1 |
Additional guidance
| Answer from accurate drawing | M0M0A0 |