Final answer:
The most likely base for segmentation Alpine Ski Shops would use is geographic, focusing on regions with mountain ranges and sufficient snowfall for skiing.
Step-by-step explanation:
When Alpine Ski Shops U.S. is looking for new markets and considering that their business depends heavily on access to snow, the most likely base for segmentation they would use is geographic segmentation. This approach allows the business to target specific areas that are characterized by their climates and geographical features, crucial for winter sports like skiing. For instance, marketing efforts would be concentrated on regions with mountain ranges and sufficient snowfall, thus ensuring that the products offered meet the demands of consumers in those areas.