Are there any basketball courts near the Westin Hotel in Seattle?

I'm going to be flying out 2 Seattle, WA in two days and stay at the hotel for my dad's work convention or sumthing like that and I'm going to be registering for college courses while I'm there. I want to try to keep in shape and keep my basketball skills honed for dis coming bball season at a JUCO, so I was wondering where the nearest courts are located. Does anyone know, bcuz I've never been to Seattle.