Choose the explanation that catches the spirit of the idiom: To blaze a trail

The correct choice is: “To initiate work in a movement”

To “blaze a trail” originally meant to mark a new path through a forest by cutting marks (blazes) on the trees for others to follow. Figuratively it means to be the first to do something, to pioneer or start a new movement or line of work that others then follow.

“To set on fire” is a literal misreading of “blaze”. “To blow the trumpet” (boasting) and “To be hopeful” have nothing to do with pioneering.