[MarchonDC09122009]

The very point I was wondering, too.
Also, is their operating altitude affected by Jet Stream winds that would make navigation difficult?
Do we have a surface-to-air missile that goes that high?

[RoosterRedux]

This story might be nothing but Chinese propaganda.

[knarf]

we should not make light of this achievement

[Alas Babylon!]

Yes. We even have a missile that can shoot down low earth orbit satellites.

The US Air Force has the ASM-135 ASAT anti-satellite missile. Shot from an F-15:

The RIM-161 Standard Missile 3 (SM-3). Used by the US Navy: