Edexcel P1 2022 June — Question 2

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2022
SessionJune
TopicSine and Cosine Rules

2. In the triangle \(A B C\),
  • \(A B = 21 \mathrm {~cm}\)
  • \(B C = 13 \mathrm {~cm}\)
  • angle \(B A C = 25 ^ { \circ }\)
  • angle \(A C B = x ^ { \circ }\)
    1. Use the sine rule to find the value of \(\sin x ^ { \circ }\), giving your answer to 4 decimal places.
Given also that \(A B\) is the longest side of the triangle,
  • find the value of \(x\), giving your answer to 2 decimal places.