Final answer:
Gilgamesh demonstrates strength and courage by defeating the monster Humbaba, illustrating his warrior prowess and protective nature as a king. His emotional resilience is also shown through his quest for immortality, after which he returns a wiser king, despite not achieving his goal.
Step-by-step explanation:
Gilgamesh demonstrates strength and courage most notably by defeating the monster Humbaba. The Epic of Gilgamesh depicts the hero's journey as one filled with perilous quests and battles, including the confrontation with Humbaba. This courage is a testament to Gilgamesh's warrior prowess and his role as a king who protects his city.
Beyond physical courage, the epic also explores Gilgamesh's emotional resilience, showcased when he seeks immortality after the death of Enkidu. His journey is driven by the love for his friend and the deeper existential struggle with the concept of death. Though he fails to achieve immortality, he returns to Uruk with a new understanding of his mortal condition, which arguably requires its own form of courage.
In a broader sense, Gilgamesh's adventures and growth as a leader pertain to his dynamism on the battlefield, which does not directly align with the idea of mastering the art of diplomacy. While there is a complex world of alliances and diplomacy in ancient Mesopotamia, this aspect is not Gilgamesh's primary means of demonstrating strength.