| Exam Board | AQA |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Sine and Cosine Rules |
| Type | Sequential triangle calculations (basic) |
| Difficulty | Moderate -0.8 This is a straightforward two-part question testing basic trigonometry. Part (a) requires a direct application of the cosine rule to find an angle (routine calculation), and part (b) uses the standard area formula (1/2)ab sin C. Both are standard textbook exercises with no problem-solving or insight required, making this easier than average for A-level. |
| Spec | 1.05b Sine and cosine rules: including ambiguous case1.05c Area of triangle: using 1/2 ab sin(C) |
The triangle $ABC$, shown in the diagram, is such that $AB = 7$ cm, $AC = 5$ cm, $BC = 8$ cm and angle $ABC = \theta$.
\includegraphics{figure_1}
\begin{enumerate}[label=(\alph*)]
\item Show that $\theta = 38.2°$, correct to the nearest $0.1°$. [3]
\item Calculate the area of triangle $ABC$, giving your answer, in cm$^2$, to three significant figures. [2]
\end{enumerate}
\hfill \mbox{\textit{AQA C2 2009 Q1 [5]}}