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.
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