Spokane County has finished its annual reevaluation of property, and is about to mail each property the assessments for the coming year. They'll hit the post office on June 1, and should be in mailboxes within a few days of that.
But if you can't wait to see how much your evaluation went up (if it went up) you can check it on the assessor's Web site. Click here then fill in your address in the search engine spaces.
Note: A higher assessed value does not automatically mean your property taxes will go up next year. And having the same value does not mean it will stay the same or go down. There are other factors involved.