You don't even need much of a missile, if you happen to have an air force; back in 1985 the USAF did a test in which the pilot of an F-15 shot down a satellite,

You don't even need much of a missile, if you happen to have an air force; back in 1985 the USAF did a test in which the pilot of an F-15 shot down a satellite, from an altitude of 38,000 feet.