4400 Higher June 2004 Paper 4 Q10
10
Diagram NOT accurately drawn
Triangle \(PQR\) is right-angled at \(R\).
\(PR = 4.7\) cm and \(PQ = 7.6\) cm.
(a) Calculate the size of angle \(PQR\).
Give your answer correct to 1 decimal place. (3)
Give your answer correct to 1 decimal place. (3)
The length, 7.6 cm, of \(PQ\) is correct to 2 significant figures.
(b)
(i) Write down the upper bound of the length of \(PQ\).
(ii) Write down the lower bound of the length of \(PQ\). (2)
| Scheme | Marks |
|---|---|
| \(\sin \angle PQR = \dfrac{4.7}{7.6} = 0.6184...\) | M1 |
| M1 | |
| 38.2 | A1 |
| (3) |
Notes
M1: for sin & \(\dfrac{4.7}{7.6}\) or 0.6184…
M1: \(\sin^{-1}(0.6184..)\) May be implied
A1: for 38.2 or better
| Scheme | Marks |
|---|---|
| (i) Answer: 7.65 | B1 |
| (ii) Answer: 7.55 | B1 |
| (2) | |
| (5 marks) |
Notes
B1: Accept \(7.64\dot{9}\)
B1: cao