Final answer:
The quality that helped Cabeza de Vaca stay alive was his diplomacy which allowed him to establish positive relations with indigenous people. His appreciation for their hospitality and a metaphorical understanding of navigation also were integral to his survival.
Step-by-step explanation:
Cabeza de Vaca's ability to stay alive can be attributed to multiple qualities; however, diplomacy played a crucial role. His experiences with the indigenous peoples, as noted in his writings, reflect that through his interactions and understanding, he was able to secure the necessary aid to survive. Moreover, his favorable view of the individuals he encountered, coupled with the mention of his appreciation of their hospitality, underlines the importance of diplomacy and good relations.
It is also essential to consider his understanding of navigation, both literal and metaphorical. As depicted in Michel Foucault's analysis, the metaphor of navigation encompasses a broad sense of knowledge and care. This reflects the multifaceted skills relevant to survival, including a form of self-governance and the ability to care for both oneself and others, a necessary skill set for explorers during the Age of Exploration.