Predator-prey relationships involving rabbits and hares are widely studied at a longterm population level, while the short-term ethological interactions between one predator and one prey are less well documented. We use a physiologically-based model of hare behavior, developed in the framework of artificial intelligence studies, to analyse its sophisticated anti-predatory behavior. The hares use to stand to the fox in order to inform it that its potential prey is alerted. The behavior of the hare is characterized by specific standing and flushing distances. We show that both hare survival probability and body condition depend on habitat cover, as well as on the ability of the predator to approach-undetected-a prey. We study two anti-predatory strategies, one based on the maximization of the survival probability and the other on the maximization of the body conditions of the hare. Despite the fact that the two strategies are not independent, they are characterized by quite different behavioral patterns. Field estimates of flushing and standing distances are consistent with survival maximization. There exists an optimal anti-predatory strategy, characterized by a flushing distance of 20 m and a standing distance of 30 m, which is optimal in a large set of environmental conditions with a sharp fitness advantage with respect to suboptimal strategies. These results improve our understanding of the anti-predatory behavior of the hare and lend credibility to the optimality approach in the behavioral analysis, showing that even for complex organisms, characterized by a large network of internal constraints and feedback, it is possible to identify simple optimal strategies with a large potential for selection.