UF sizing question...

Running branch circuit to outbuilding -- two circuits there, a 15A lights and 20A outlet (although it's a 20A breaker, actual usage will be pretty light, just so happens the old breaker box I'm reusing has two fixed-amperage breakers that aren't changeable or they would both be 15's). And no, there's no reason to consider the "expansion down the road" syndrome here... :)
Question -- breaker for supply will be 30A single pole about 200 ft or a little less away. Is 10 ga Cu UF adequate for the distance?

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