Keyword here is "hit". You don't have to take it down, just touch it with the laser guided rocket.
It's easier said than done because that pesky chopper doesn't like to stand still and actually maneuvering the rocket can be a pain in the ass as well.
There are two places that are best suited to get it, but I found this one the easiest. Right near the end of Ghost Town, a chopper will appear. Earlier on in the mission, you will get the laser guidance system, so make sure you hold on to it for when you reach the chopper.
Other than that, it can take a bit of luck and/or skill, but either one will get you 20 GamerPoints.
Volume One of this series of books does a grand job of introducing gaming to the masses, but offers a lot of familar information for gamers already in the know.
Our man on the street gives us a full report on EA's E3 showing including its support of Xbox Live!, the EA Sports line-up, the latest Harry Potter game and more.