4400 Higher November 2004 Paper 4 Q18
18
Diagram NOT accurately drawn
Angle \(PQS = 90^\circ\).
Angle \(RQS = 90^\circ\).
\(PS = 5.3\) cm, \(PQ = 3.8\) cm, \(QR = 6.2\) cm.
Calculate the length of \(RS\).
Give your answer correct to 3 significant figures.
(5)
| Scheme | Marks |
|---|---|
| \(5.3^2 - 3.8^2 = 28.09 - 14.44\) | M1 |
| 13.65 | A1 |
| "13.65" + \(6.2^2\) or 52.09 | M1 |
| \(\sqrt{\text{"13.65"} + 6.2^2}\) | M1 |
| 7.22 | A1 |
| (5) | |
| (5 marks) |
Notes
M1: for squaring and subtracting
M1: for squaring and adding
M1: (dep on previous M1) for square root
A1: for 7.21 or 7.22 or answers rounding to either of these