An architect built a scale model of a store using a scale in which 2 inches represents 40 feet. The height of the store is 160 feet. What is the height of the scale model in inches?

If 2 inches on the scale represents 40 feet in reality, then 1 inch on the scale represents 40/2 = <<40/2=20>>20 feet.

Therefore, 160 feet in reality represents 160/20 = <<160/20=8>>8 inches on the scale model. Answer: \boxed{8}.