1MA0 Higher November 2015 Paper 2 Q24
24 \(ABC\) is a triangle.
Diagram NOT accurately drawn
\(AC = 8.4\) m
Angle \(ACB = 40^\circ\)
The area of the triangle = 100 m\(^2\).
Work out the length of \(AB\).
Give your answer correct to 3 significant figures.
You must show all your working. (5)
| Answer | Mark | Notes |
|---|---|---|
| 31.1 | 5 | M1 for \(\tfrac{1}{2} \times 8.4 \times x \times \sin 40 = 100\) M1 for \(100 \div (0.5 \times 8.4 \times \sin 40)\) (= 37.(041...)) M1 (dep on 1st M1) for substituting the appropriate figures into the cosine rule eg \(8.4^2 + \text{'}37.041\text{'}^2 - 2 \times 8.4 \times \text{'}37.041\text{'} \cos 40^\circ\) M1 (dep on previous M1) for correct order of evaluation or (\(c^2 =\)) 965.(897...) A1 31.07 - 31.1 |