Higher November 2021 Paper 2 Q23
23 A ship sails from \(P\) to \(Q\) and then from \(Q\) to \(R\).
\(Q\) is 12 miles from \(P\), on a bearing of 080°
\(R\) is 28 miles from \(Q\), on a bearing of 155°
Not drawn accurately
Work out the direct distance from \(P\) to \(R\). [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| 105 | B1 | may be seen on the diagram |
| \(12^2 + 28^2 - 2 \times 12 \times 28 \times \cos\) their 105 or [1101, 1102] | M1 | oe eg \(144 + 784 - 672 \cos\) their 105 or \(928 - 672 \cos\) their 105 their 105 cannot be 0 or 90 their 105 must be \(\lt 180\) |
| \(\sqrt{\text{their } [1101, 1102]}\) | M1dep | |
| [33.19, 33.2] or 33 | A1ft | ft B0M2 |
Additional guidance
Follow through answers must be rounded to 2 sf or better