4MA0 Higher January 2012 Paper 3 Q9
9

Diagram NOT accurately drawn
Triangle \(PQR\) has a right angle at \(Q\).
\(PQ\) = 3.4 cm and \(PR\) = 5.8 cm.
(a) Work out the size of angle \(QRP\).
Give your answer correct to 1 decimal place. (3)
Give your answer correct to 1 decimal place. (3)
The length 5.8 cm, of \(PR\), is correct to 2 significant figures.
(b)
(i) Write down the upper bound of the length of \(PR\).
(ii) Write down the lower bound of the length of \(PR\).
(2)| Scheme | Marks |
|---|---|
| Use of sine or \(\dfrac{\sin x}{3.4} = \dfrac{\sin 90}{5.8}\) | M1 |
| sin “x” = 3.4 / 5.8 (=0.586..) | M1 |
| 35.9 | A1 |
| (3) |
Notes
M1: Sine must be selected for use.
A1: (35.888...)Use isw on awrt 35.9
| Scheme | Marks |
|---|---|
| (i) 5.85 | B1 |
| (ii) 5.75 | B1 |
| (2) | |
| (Total 5 marks) |
Notes
B1: accept \(5.84\dot{9}\)