Final answer:
Option b) Paul Revere swiftly rides through the night to warn residents is the detail that best exemplifies courage in the face of danger as it shows Revere's bravery and dedication.
Step-by-step explanation:
The detail that best develops the theme of having courage in the face of danger in this poem is b) Paul Revere swiftly rides through the night to warn residents of neighboring towns of the impending British attack. This action embodies the theme by showing Revere willingly facing the dangers of the night and the risks of being caught by the British forces to alert his fellow Patriots, demonstrating his heroism and bravery, which are central to the poem's message on courage.