Three towns A,BA, BA,B, and C C\,C form a triangle. The distance between A A\,A and B B\,B is 30 km, the distance between B B\,B and C C\,C is 45 km, and the distance between A A\,A and C C\,C is 60 km. The angle at town B B\,B is labeled α∘\alpha^\circα∘.
Work out the value of α\alphaα.
Give your answer to 1 decimal place.
Practise OCR GCSE Maths The Cosine Rule with exam-style questions for Foundation and Higher tier. 44 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.