Edexcel AS Paper 1 Specimen — Question 8

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
SessionSpecimen
TopicSine and Cosine Rules

8. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4b084faa-a680-4f35-bb5c-a4edf5171b5f-10_609_675_262_753} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} A triangular lawn is modelled by the triangle \(A B C\), shown in Figure 1. The length \(A B\) is to be 30 m long. Given that angle \(B A C = 70 ^ { \circ }\) and angle \(A B C = 60 ^ { \circ }\),
  1. calculate the area of the lawn to 3 significant figures.
  2. Why is your answer unlikely to be accurate to the nearest square metre?