F-15s took off from McChord Airbase 5-6 miles south of Tacoma.
Sea-Tac is midway between Seattle & Tacoma perhaps 20 miles north of McChord.
McChord airbase is about 4 or 5 miles due east from Ketron Island.
The alert fighters are based in the small hangars near the south end of the runway.
The fighters would be airborne within a minute or two of the order to scramble being given.
For scale the McChord runway is 10000ft long (approx 2 miles).