1MA0 Higher June 2015 Paper 2 Q19
19
Diagram NOT accurately drawn
\(ABCD\) is a rectangle.
\(CDE\) is a straight line.
\(AB = 12\) cm
Angle \(ACB = 60^\circ\)
Angle \(EAC = 90^\circ\)
Calculate the length of \(CE\).
You must show all your working. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(BC = \dfrac{12}{\tan 60} = 6.92(8…)\) \(DE = 6.92(…) \times \tan 30 = 4\) \(CE = 12 + 4\) \(AC = \dfrac{12}{\sin 60} = 13.8(5…)\) \(CE = \dfrac{13.8(5…)}{\cos 30}\) | 16 with supporting working | 4 | M1 for a method to find \(BC\) or \(AC\) or \(AD\) B1 for angle \(EAD = 30^\circ\) or \(AED = 60^\circ\) or \(ACD = 30^\circ\) or \(CAD = 60^\circ\) M1 for a method to find \(CE\) A1 for 15.9-16.1 with supporting working |