1) The sun had nearly set when we reached home. Adverb qualify adverb

2) Modern trains can travel incredibly fast. - adverbs qualify adjective
3) The judges were utterly amazed at the performance.- Adverb qualify adjective
4) The bitterly cold winds have killed all the flowers.- Adverb qualify adjective

Are the following adverbs of degrees are correct?

Which following adverbs?

Yes, the given adverbs are correctly used as adverbs of degree in the given sentences.

1) "nearly" in the sentence "The sun had nearly set when we reached home" is an adverb of degree that qualifies the adverb "set." It describes the degree to which the sun had set.

2) "incredibly" in the sentence "Modern trains can travel incredibly fast" is an adverb of degree that qualifies the adjective "fast." It describes the degree to which the trains can travel.

3) "utterly" in the sentence "The judges were utterly amazed at the performance" is an adverb of degree that qualifies the adjective "amazed." It describes the degree to which the judges were amazed.

4) "bitterly" in the sentence "The bitterly cold winds have killed all the flowers" is an adverb of degree that qualifies the adjective "cold." It describes the degree to which the winds were cold.