Assuming they are not pines - I'm of the opinion, the trees will survive . . ..  but, it does depend on how much they drank and weather this summer and fall . . . . water is key to they survival.
When RR first came out, I had a wet field that needed it. It was low land and the road was in the hill. Hilocopter sparyed it and the RR moved up and over and down the otherside of road to guys alfalfa field ..   killed his alfalfa in spots  ..  . . the ditch came back the next year. Boxelder trees lost leaves, but came back the next year.
Anything is possible . . .   next mid-year willl know for sure . . .. . .