1MA0 Higher November 2013 Paper 2 Q18
18 \(ABC\) is an isosceles triangle.
Diagram NOT accurately drawn
Work out the area of the triangle.
Give your answer correct to 3 significant figures. (4)
| Answer | Mark | Notes |
|---|---|---|
| 49.5 | 4 | M1 for \(\tan 54 = \dfrac{\text{height}}{6}\) M1 for (height =) \(6 \times \tan 54\) (=8.2-8.3) M1 for \(\frac{1}{2} \times\) ‘8.258..’ \(\times 12\) A1 for 49.2 - 50 OR M1 for \(\cos 54 = \dfrac{6}{AC}\) M1 for (\(AC =\)) \(\dfrac{6}{\cos 54}\) (=10.2(07...)) M1 for \(\frac{1}{2} \times 12 \times\) ‘10.207’ \(\times \sin 54\) A1 for 49.2 - 50 OR M1 for \(\dfrac{AC}{\sin 54} = \dfrac{12}{\sin 72}\) M1 for (\(AC =\)) \(\dfrac{12}{\sin 72} \times \sin 54\) (=10.2(07...)) M1 for \(\frac{1}{2} \times 12 \times\) ‘10.207’ \(\times \sin 54\) A1 for 49.2 – 50 |