OCR MEI C2 2010 January — Question 7 5 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2010
SessionJanuary
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSine and Cosine Rules
TypePoint on side of triangle
DifficultyModerate -0.8 This is a straightforward two-part trigonometry question requiring standard application of the sine rule in triangle ABD, then the cosine rule in triangle BCD. Both are routine calculations with no problem-solving insight needed, making it easier than average but not trivial due to the multi-step nature.
Spec1.05b Sine and cosine rules: including ambiguous case

\includegraphics{figure_7} Fig. 7 shows triangle ABC, with AB = 8.4 cm. D is a point on AC such that angle ADB = 79°, BD = 5.6 cm and CD = 7.8 cm. Calculate
  1. angle BAD, [2]
  2. the length BC. [3]

\includegraphics{figure_7}

Fig. 7 shows triangle ABC, with AB = 8.4 cm. D is a point on AC such that angle ADB = 79°, BD = 5.6 cm and CD = 7.8 cm.

Calculate
\begin{enumerate}[label=(\roman*)]
\item angle BAD, [2]
\item the length BC. [3]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C2 2010 Q7 [5]}}