How Would You Play This Hand?

[David Sklansky]

Someone asked me if they played this hand correctly in the Bellagio 15K WPT finals.

First day early. Very tough table. 100-200 blinds. Several limpers. Player in question limps in late position with Kx of spades. Unraised pot. Flop comes T62 with two spades. All check to player who bets 1200. Only the big blind calls. Turn is 8s. Blind checks and player bets 2500. He gets check raised 5000 more. He has 35000 left as does his opponent.

I do not want to discuss the rightness of the play up to this point. I just want to know what the player facing the 5000 check raise from a tough opponent should do now.