I would also vote for a PV charged battery system if it is viable.
If you are trapped into a 120V circuit, I would boost it up to 600V and back down to 120 at the end. That would reduce your current requirements by a factor of 5. You would probably end up with #6 or even 8 if you let the voltage sag some. The gate probably won't care.
I would go with the 120-600-120 myself. When it comes down to it what it may cost for 2 transformers may be off set by the savings in the cost for the wire. The transformer doesn't have to be rated for 20a either just enough for the load.
Anyway, there is also the thought about what the owner can afford. An electric Gate 1/2 mile away one would think that they could afford to do it the right way. Would they want to add a few post lamps along the way by using a small 600-120 transformer at each post.
You have a point. At 120V and 20A that sounds much too much for the motor for a gate.My limited experience with these gates is they are powered by a 12 or 24 volt battery and your ac power primarily supplies a battery charger which doesn't draw much current.
And save half a mile of cabling and associated installation.A small PV system to power a battery charger could be the best thing for this application.
You have a point. At 120V and 20A that sounds much too much for the motor for a gate.
And save half a mile of cabling and associated installation.
If the owner also wants remote control of the gate from the house, 1/2 mile may be a little long for RF remote unless directional antennas are used. Just keep that in mind. (Point-to-point WiFi could allow for CCTV and intercom better than wired would).And save half a mile of cabling and associated installation.
And a lot of dosh.....I was once told that installing UF UG was about $2 a foot, not counting the cable. half a mile is 2600+ feet. that's a lot of shovel work.
Since you have to trench anyway, maybe you should ask if they want an intercom or CCTV system added.