1MA0 Higher November 2016 Paper 2 Q20
20 Jarek uses the formula \[\text{Area} = \frac{1}{2}ab\sin C\] to work out the area of a triangle.
For this triangle,
\(a = 7.8\) cm correct to the nearest mm.
\(b = 5.2\) cm correct to the nearest mm.
\(C = 63^\circ\) correct to the nearest degree.
Calculate the lower bound for the area of the triangle. (3)
| Answer | Mark | Notes |
|---|---|---|
| 17.7(014…) | 3 | B1 for 7.75 or 7.85 or 5.15 or 5.25 or 62.5 or 63.5 M1 for \(\dfrac{1}{2} \times 7.75 \times 5.15 \times \sin 62.5\) A1 for 17.7(0140994…) |