Higher November 2021 Unit 2 Q5
5. Calculate the length of the side AB in the triangle shown below. [3]
Diagram not drawn to scale
| Scheme | Marks | Comments |
|---|---|---|
| \((AB =)\ 13{\cdot}8 \times \cos 41\) OR \(13{\cdot}8 \times \sin 49\) | M2 | M1 for \(\cos 41 = \dfrac{AB}{13{\cdot}8}\) OR \(\sin 49 = \dfrac{AB}{13{\cdot}8}\) |
| \(= 10{\cdot}4(\ldots)\) (cm) | A1 |
Alternative method:
| Scheme | Marks | Comments |
|---|---|---|
| Correct use of ‘two-step’ method. | M2 | A partial trigonometric method is M0. |
| \((AB) = 10{\cdot}4(\ldots)\)(cm) | A1 | Accept an answer that rounds to 10·4(cm) |