4MA0 Foundation January 2014 Paper 1 Q15
15
Diagram NOT accurately drawn
Work out the value of \(x\).
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
| sin 43 used | M1 |
| \(7.8 \sin 43^\circ\) | M1 |
| 5.32 | A1 |
| (3) | |
| (Total 3 marks) |
Notes
A1: for awrt 5.32 (5.319587...)
or M1 for \(7.8 \cos 43^\circ\) (5.704...) and \(7.8^2 - \text{“}5.704\text{”}^2\) (28.298)
M1 for \(\sqrt{\text{“}28.298\text{”}}\)
or M1 for correct statement of Sine Rule eg \(\dfrac{7.8}{\sin 90^\circ} = \dfrac{x}{\sin 43^\circ}\)
M1 for correct expression for \(x\) eg \(x = \dfrac{7.8 \sin 43^\circ}{\sin 90^\circ}\)