# 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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