Foundation June 2022 Paper 2 Q22
22 The diagram shows triangle \(PQR\).
Diagram NOT accurately drawn
Work out the value of \(x\)
Give your answer correct to one decimal place.
(3)
| Scheme | Marks |
|---|---|
\(\cos 42 = \dfrac{x}{9.5}\) or \(\tan 42 = \dfrac{9.5\sin 42}{x}\) or \(\sin(90 - 42) = \dfrac{x}{9.5}\) or \(\dfrac{x}{\sin 48} = \dfrac{9.5}{\sin 90}\) or \(9.5^2 - (9.5\sin 42)^2\) | M1 |
(\(x\) =) \(9.5\cos 42\) or (\(x\) =) \(\dfrac{9.5\sin 42}{\tan 42}\) or (\(x\) =) \(9.5\sin(90 - 42)\) or (\(x\) =) \(\dfrac{9.5\sin 48}{\sin 90}\) or (\(x\) =) \(\sqrt{9.5^2 - (9.5\sin 42)^2}\) | M1 |
| 7.1 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: a correct trig statement for \(x\) or correct Pythagoras for \(x^2\)
M1: a fully correct calculation to find \(x\)
A1: awrt 7.1