4MA0 Higher January 2018 Paper 4 Q16
16
Diagram NOT accurately drawn
(a) Work out the area of triangle \(JKL\).
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
(b) Work out the length of \(KL\).
Give your answer correct to 3 significant figures. (3)
Give your answer correct to 3 significant figures. (3)
| Scheme | Marks |
|---|---|
| \(\dfrac{1}{2} \times 10.5 \times 17.6 \times \sin(109^\circ)\) | M1 |
| 87.4 | A1 |
| (2) |
Notes
A1: 87.36 – 87.4
| Scheme | Marks |
|---|---|
| \(10.5^2 + 17.6^2 - 2 \times 10.5 \times 17.6 \times \cos(109^\circ)\) | M1 |
| e.g. 540 or \(10.5^2 + 17.6^2 \pm 120\) or 420.0.. ± a single number oe | M1 |
| 23.2 | A1 |
| (3) |
Notes
M1: correct order of operations
A1: for 23.2 – 23.25