4400 Higher June 2010 Paper 3 Q7
7
Diagram NOT accurately drawn
Work out the value of \(x\).
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
| cos and 41 | M1 |
| 6.8 cos 41° | M1 |
| 5.13 | A1 |
| (3) | |
| (3 marks) |
Notes
A1: for ans rounding to 5.13 (5.132025...)
or M1 for 6.8 sin 41° (4.461) and \(6.8^2 - \text{“}4.461\text{”}^2\) (26.337), M1 for \(\sqrt{\text{“}26.337\text{”}}\)
or M1 for correct statement of Sine Rule eg \(\dfrac{6.8}{\sin 90^\circ} = \dfrac{x}{\sin 49^\circ}\), M1 for correct expression for \(x\) eg \(x = \dfrac{6.8 \sin 49^\circ}{\sin 90^\circ}\)