Foundation June 2024 Paper 2 Q19
19

Not drawn accurately
Use trigonometry to work out the value of \(x\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(\sin\) chosen or used | M1 | |
| \(31 \times \sin 24\) | M1dep | accept \(31 \times [0.4, 0.41]\) |
| [12.6, 12.61] | A1 | accept 13 if M2 awarded |
| Alternative method 2 | ||
| \(\cos (90 - 24)\) | M1 | |
| \(31 \times \cos (90 - 24)\) | M1dep | accept \(31 \times [0.4, 0.41]\) |
| [12.6, 12.61] | A1 | accept 13 if M2 awarded |
Additional guidance
| Check diagram for working | |
| Allow correct use of sine rule to indicate \(\sin 24\) | |
| Ignore rounding or truncating after the correct answer is seen | |
| \(\sin 24 \times 31\) | M2 |
| Do not accept answers from full sized or scale drawing | |
| \(\sin\) may be indicated by eg circling S in SOH CAH TOA |