4MA0 Foundation June 2015 Paper 2R Q20
20
Diagram NOT accurately drawn
Work out the value of \(x\).
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
\(\cos 56° = \dfrac{7.4}{x}\) 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) | |
| Total 3 marks |
Notes
M1: Correct equation for \(x\). e.g.
\(x^2 = 7.4^2 + (7.4\tan 56°)^2\)
M1: Correct expression for \(x\). e.g.
\(x = \sqrt{7.4^2 + (7.4\tan 56°)^2}\)
A1: awrt 13.2