4MA0 Higher January 2013 Paper 3 Q8
8

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 x cos 38° or 7.9 x sin 52° | M2 |
| 6.23 | A1 |
| (3) |
Notes
M2: M1 for cos 38° or sin 52° selected
A1: 6.2252.. awrt 6.23
| Scheme | Marks |
|---|---|
| (i) 37.5 | B1 |
| (ii) 38.5 or 38.49 rec | B1 |
| (2) |