4MA0 Higher January 2016 Paper 4R Q23
23 \(ABC\) is a triangle.
\(AB = 12\) cm
\(AC = 14\) cm
The area of triangle \(ABC\) is 72 cm2
Find, in degrees, the two possible sizes of angle \(BAC\).
Give your answers correct to the nearest degree.
(4)
| Scheme | Marks |
|---|---|
| \(0.5 \times 12 \times 14 \times \sin x = 72\) | M1 |
| \(\sin x = \dfrac{72}{84}\) | M1 |
| 59° | A1 |
| 121° | A1 |
| (4) |
Notes
M1: For a correct equation for the area including 12, 14, \(\sin x\) and 72
M1: For \(\sin x = \dfrac{72}{84}\) oe