A cell tower is located 4 miles east and 6 miles north of the center of a small town. The cell tower has a coverage radius of 4 miles.

Start by drawing a diagram of this situation. Your diagram might include a coordinate plane, the cell tower, and a circle representing the cell tower's coverage boundary.

A house is located 8 miles north of the center of the town and is to the east of the cell tower. If the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?