Higher June 2022 Paper 2 Q6
6 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 \(\dfrac{x}{\sin(90 - 42)} = \dfrac{9.5}{\sin 90}\) or \(9.5^2 - (9.5\sin 42)^2\) | M1 |
\((x =)\) 9.5cos 42 or \((x =)\;\dfrac{9.5\sin 42}{\tan 42}\) or \((x =)\;9.5\sin(90 - 42)\) or \((x =)\;\dfrac{9.5\sin(90 - 42)}{\sin 90}\) or \((x =)\;\sqrt{9.5^2 - (9.5\sin 42)^2}\) or | 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