Angle between tangents to an ellipse

Geometry Level 4

An ellipse is given by

\[ \dfrac{x^2} 4 + y^2 = 1 \]

From the point \((4, 3)\) the two possible tangents to the ellipse are drawn. Find the angle (in degrees) between the two tangents. Round your answer to the nearest tenth of a degree.

The chart provided is drawn to scale.


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