I know vertical angle IS roughly displayed on passive sonar. There are some leaked sonar screen photos on internet, and there are 4 passive sonar waterfalls, each for different vertical angle range. It covered +5 to -30 degrees IIRC. My sonar expert called it Depression/Elevation display, with little more details (those experts .. never want to say things
), but it can help identification of targets (rather then detecting depth).
As for active, I'm clueless, except that as was told, it is really problematic for large distance to determine depth of contact even if you knew the angle.
Still there are many reasons for changing vertical angle of the active beam .. you want to send thin focused beam .. and then you have to correct for ship attitude at least. You also may want to shoot down a bit to avoid surface duct as much as possible .. or to try bottom bounce. Generally every contact will have different vertical angle for best return, depending on situation.
This should be true for passive contacts too.