Edexcel P1 2019 January — Question 7

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2019
SessionJanuary
TopicSine and Cosine Rules

7. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c8f8d35d-c2dd-4a1f-a4bb-a4fa06413d12-14_327_595_251_676} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} Not to scale Figure 3 shows the design for a structure used to support a roof. The structure consists of four wooden beams, \(A B , B D , B C\) and \(A D\). Given \(A B = 6.5 \mathrm {~m} , B C = B D = 4.7 \mathrm {~m}\) and angle \(B A C = 35 ^ { \circ }\)
  1. find, to one decimal place, the size of angle \(A C B\),
  2. find, to the nearest metre, the total length of wood required to make this structure.