Intermediate November 2023 Unit 2 Q19
19.
Diagram not drawn to scale
Calculate the length of the side YZ. [3]
| Scheme | Marks | Comments | ||||||
|---|---|---|---|---|---|---|---|---|
| Method using angle XYZ \(YZ = \dfrac{18{\cdot}6}{\tan 40(^\circ)}\) or \(\dfrac{18{\cdot}6 \times \sin 50}{\sin 40}\) or equivalent | M2 | Check diagram for answer. Award M1 for one of the following
| ||||||
| = 22(·166..)(cm) | A1 | Accept an answer rounded or truncated. Award M2A0 for any of the following unsupported answers:
|
19. Alternative using angle YXZ
| Scheme | Marks | Comments | ||||||
|---|---|---|---|---|---|---|---|---|
| \(YZ = 18{\cdot}6 \times \tan 50(^\circ)\) | M2 | Award M1 for \(\tan 50(^\circ) = \dfrac{YZ}{18{\cdot}6}\) | ||||||
| = 22(·166..)(cm) | A1 | Accept an answer rounded or truncated Award M2A0 for any of the following unsupported answers:
|
19. Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| Correct use of a ‘two-step’ method. | M2 | A partial trigonometric method is M0. |
| 22(·166..)(cm) ISW | A1 | Accept an answer rounded or truncated. |