4MA0 Foundation January 2013 Paper 1 Q19
19
Diagram NOT accurately drawn
\(ABC\) is a triangle.
\(AC = 7.9\) cm
Angle \(B = 90^\circ\)
Angle \(C = 38^\circ\)
(a) Calculate the length of \(BC\).
Give your answer correct to 3 significant figures. (3)
Give your answer correct to 3 significant figures. (3)
(b) The size of angle \(C\) is 38°, correct to 2 significant figures.
(i) Write down the lower bound of the size of angle \(C\).
(ii) Write down the upper bound of the size of angle \(C\).
(2)| Scheme | Marks |
|---|---|
| \(7.9 \times \cos 38^\circ\) or \(7.9 \times \sin 52^\circ\) | M2 |
| 6.23 | A1 |
| (3) |
Notes
M2: M1 for \(\cos 38^\circ\) or \(\sin 52^\circ\) selected
A1: 6.2252… awrt 6.23
| Scheme | Marks |
|---|---|
| (i) 37.5 | B1 |
| (ii) 38.5 or \(38.4\dot{9}\) | B1 |
| (2) |