1MA0 Higher November 2012 Paper 2 Q17
17
Diagram NOT accurately drawn
Calculate the value of \(x\).
Give your answer correct to 3 significant figures. (3)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(\sin 60^\circ = \dfrac{x}{32}\) \(x = 32 \times \sin 60\) (=27.712...) | 27.7 | 3 | M1 \(\sin 60 = \dfrac{x}{32}\) or \(\dfrac{x}{\sin 60} = \dfrac{32}{\sin 90}\) oe M1 (\(x =\)) \(32 \times \sin 60\) or (\(x =\)) \(\dfrac{32}{\sin 90} \times \sin 60\) A1 27.7 − 27.72 OR M1 \(\cos(90 - 60) = \dfrac{x}{32}\) M1 (\(x =\)) \(32 \times \cos(90 - 60)\) A1 27.7 − 27.72 Radians : − 9.7539398... Gradians : 25.888554... SC : B2 for an answer in the range (−) 9.75 to (−)9.754 or 25.8 to 25.9 |