1MA0 Higher March 2013 Paper 2 Q20
20
Diagram NOT accurately drawn
Calculate the length of \(PR\).
Give your answer correct to 3 significant figures. (3)
| Answer | Mark | Notes |
|---|---|---|
| 15.0 | 3 | M1 for \(8^2 + 8^2 - 2 \times 8 \times 8 \times \cos 140\) M1 (dep) for correct order of evaluation or 226.(05...) A1 for answer in range 15.0 − 15.04 OR M1 for \(\dfrac{PR}{\sin 140} = \dfrac{8}{\sin\left(\left(\frac{180 - 140}{2}\right)\right)}\) M1 for \(PR = \dfrac{8}{\sin\left(\left(\frac{180 - 140}{2}\right)\right)} \times \sin 140\) A1 for answer in range 15.0 − 15.04 OR M1 for \(8 \times \sin 70\) or \(8 \times \cos 20\) M1 for \(2 \times 8 \times \sin 70\) or \(2 \times 8 \times \cos 20\) A1 for answer in range 15.0 − 15.04 |