A stained - glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure.

A stained - glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 3 feet, but the height h is yet to be determined. If 17 ft2 of glass is to be used, find the height h. (Round your answer to the nearest hundredth.)