4MA0 Higher June 2015 Paper 4R Q10
10
Diagram NOT accurately drawn
Work out the value of \(x\).
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
\(\cos 56^\circ = \dfrac{7.4}{x}\) or \(7.4 = x\cos 56\) or \(\sin(90 - 56) = \dfrac{7.4}{x}\) or \(7.4 = x\sin(90 - 56)\) | M1 |
| \((x =)\;\dfrac{7.4}{\cos 56}\) or \(\dfrac{7.4}{\sin(90 - 56)}\) | M1 |
| 13.2 | A1 |
| (3) |
Notes
M1: Correct equation for \(x^2\) eg \(x^2 = 7.4^2 + (7.4\tan 56^\circ)^2\)
Correct statement of Sine rule eg \(\dfrac{x}{\sin 90} = \dfrac{7.4}{\sin(90 - 56)}\)
M1: Correct expression for \(x\) eg \(x = \sqrt{7.4^2 + (7.4\tan 56^\circ)^2}\)
Correct expression for \(x\) eg \((x) = \dfrac{7.4}{\sin(90 - 56)} \times \sin(90)\)
A1: awrt 13.2