Final answer:
The Old Minnehaha County Jail likely features a pitched roof with a gable end characteristic of early 19th-century architectural styles, such as the Temple Front House or the Salt Box House.
Step-by-step explanation:
The front portion of the Old Minnehaha County Jail features a style of roof that is distinct and characterized by certain historical architectural trends. Notably, buildings like the Reinli Stave Church highlight the use of sharply pitched roofs. These roofs are akin to an inverted boat placed atop the walls, exemplified in long houses with a curve similar to a ship, which is an architectural decision made to support heavy snowfall. Similarly, the gable ends of houses from the early 19th century, including the New England Large Houses and the Salt Box House, present a stylish appearance with their distinctive rooflines. However, without a direct reference to the specific architectural style of the Old Minnehaha County Jail's roof, we look to the historical context provided, which suggests a pitched roof that could bear a resemblance to the Temple Front House with its gable end arrangement, especially if the jail's structure was influenced by architectural trends from the early 1800s.