Let \( \theta \) be the acute angle between the tangents to the ellipse \( \frac{x^2}{9} + \frac{y^2}{1} = 1 \) and the circle \( x^2 + y^2 = 3 \) at their point of intersection in the first quadrant. Then \( \tan \theta \) is equal to:
\( \frac{2}{\sqrt{3}} \)
\( 2 \)
\( \frac{5}{2\sqrt{3}} \)
\( \frac{4}{\sqrt{3}} \)
