OCR C2 2008 January — Question 4

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2008
SessionJanuary
TopicSine and Cosine Rules

4
\includegraphics[max width=\textwidth, alt={}, center]{2ae05b46-6c9f-4aaa-9cba-1116c0ec27d4-2_515_713_1567_715} In the diagram, angle \(B D C = 50 ^ { \circ }\) and angle \(B C D = 62 ^ { \circ }\). It is given that \(A B = 10 \mathrm {~cm} , A D = 20 \mathrm {~cm}\) and \(B C = 16 \mathrm {~cm}\).
  1. Find the length of \(B D\).
  2. Find angle \(B A D\).