How to estimate the inclination of a galaxy between edge on and face on? I have the images of a galaxy and the field of view and I would like to determinte the inclination of a galaxy between edge-on and face-on. Would that information be enough to do the calculation? Or what other details would be needed?
If you tilt a circular object, then along one axis the length will appear to be shortened, while along a perpendicular axis the apparent size will be unchanged.  So you can use that to determine the tilt angle (inclination).
If we define $0^\circ$ to be face-on, then when tilted at an angle $i$ away from face-on, the shorter axis will appear to be decreased in length by a factor of $\cos i$.  Thus, assuming that the galaxy is circular in cross-section, you can determine its inclination from $\cos i = \frac{\rm short\ axis}{\rm long\ axis}$.
This should work for spiral galaxies, but won't work for elliptical galaxies, which aren't necessarily circular in projection when viewed face-on.