Answer:
B. Hyperbole
Explanation:
Allusion is an indirect reference to something or someone.
Hyperbole is a statement that is exaggerated.
This sentence exaggerated how glad they were.
"I am glad to the brink of fear".
Personification is when you give objects or non-humans, human-like features.
For example: "The wind howled at night"
Similes use "like" or "as".
So it wouldn't be simile because the sentence did not contain that.
I hope it helps! Have a great day!