Geometry or calculus? I

Calculus Level 4

Given that the two ellipses with equations \(3x^2+4y^2=43\) and \(4x^2+y^2-32x+56=0\) intersect at two points \(A(a,b)\) and \(B(a,-b)\), where \(a\) and \(b\) are positive numbers. Find the obtuse angle of intersection in the point \(A\) in degrees rounded to \(3\) decimal places.

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