For year-round heating applications (i.e., generating domestic and process hot water), solar collectors should be tilted at an angle relative to the horizontal plane that is approximately equal to the latitude angle. Determine the closest architectural roof slope (i.e., 4⁄12, 6⁄12, and so forth) related for the optimum collector tilt for yearround heating at the following locations:
a. Fargo, North Dakota (47° north latitude)
b. Columbus, Ohio (40° north latitude)
c. Savannah, Georgia (32° north latitude)
d. Miami, Florida (26° north latitude)
e. Lihue, Hawaii (22° north latitude)