I calculated the angle $\varphi$ between the droplet and the interface and the case where I considered the droplet is a perfect sphere and found the current relation:
$$180 - (2 * \arctan(\frac{d/2}{h}))* \frac{180}{\pi}$$
Now, I want to find the relation in the case where the droplet is an ellipsoid, like the second image.
In the figure below, the radius of the interface is the same, and the height above interface is the same. Which is the correct angle? There are infinitely many ellipses that pass through the interface, and have the same height above the interface.