OK you go by the nameplate rating. the conductor is sized to 125% of that. (you get 18.75a) The minimum wire size using 310.16 is 14ga. You can oversize the breaker to 250% of FLA so you could use a 37.5a breaker, that rounds up to 40a. per table 430.52 and 240.4(B).
Voltage drop is a separate issue
14ga wire with a 15a load 100 feet out drops 9.48v or about 4% of 240v. That is probably a little more than you want (more than the FPN recommendation). If you go up to 12ga you drop 5.9v (2.5%) so that is probably what I would do. You also will usually be fine with a smaller breaker than the max in 430.52 but there is a chance a 20a might nuisance trip.