North Korea 'fires missile from Pyongyang'
bbc.com
bbc.com
For reference, the international space station is about 220 miles above earth.
Why does a missile need to do so damn high? Is it because it's just a test? Do all missiles go that high?
Ballistic missiles follow a ballistic trajectory, there's a high initial impulse and then gravity takes over. Generally, you want the most efficient ballistic trajectory because every kg you save in fuel is 1 more kg for the warhead.