| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Sine and Cosine Rules |
| Type | Bearings and navigation |
| Difficulty | Moderate -0.3 This is a straightforward application of the cosine rule followed by the sine rule in a bearings context. Part (a) requires recognizing the angle at A is 75° (90° - 15°) and applying the cosine rule directly. Part (b) uses the sine rule to find an angle, then converts to a bearing. While it requires careful angle work with bearings, it's a standard two-part question with no novel problem-solving, making it slightly easier than average. |
| Spec | 1.05b Sine and cosine rules: including ambiguous case |
\includegraphics{figure_1}
Figure 1 shows 3 yachts $A$, $B$ and $C$ which are assumed to be in the same horizontal plane. Yacht $B$ is 500 m due north of yacht $A$ and yacht $C$ is 700 m from $A$. The bearing of $C$ from $A$ is 015°.
\begin{enumerate}[label=(\alph*)]
\item Calculate the distance between yacht $B$ and yacht $C$, in metres to 3 significant figures.
[3]
\end{enumerate}
The bearing of yacht $C$ from yacht $B$ is $\theta°$, as shown in Figure 1.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Calculate the value of $\theta$.
[4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q6 [7]}}