not at the OPs native resolution it won't. not use of getting a card able to run at higher resolutions running over 150fps when all you see is 60fps the same as you would see with the 5770. So money wasted. Then I believe its for HPTC purposes.
Oh, if he only wants to watch movies, then a nhd5670 would do fine, which then he would be wasting money on a hd5770. If he gets a hd6850 and can max out all the games for $20 more, it would be better. Look, a hd5770 will run games at med-high, and a hd6850 will run 'em max for only $20 more. I would grab a hd6850 IMO.