Their prestige went sky high.是什么意思？

Their prestige went sky high.

他们名声大噪。

their

pron. 他（她，它）们的，在提及性别不详的人时，用以代替 him 或 her；

例句
Their permissiveness toward their children reflects the wild abandon of their own lives.
他们对孩子的放任折射出他们自身生活的放浪形骸。

prestige

n. 威信，威望，声望，声誉，（财势的）显赫，信望；

例句
As the president's prestige continues to fall, they're clearly beginning to consider him a liability.
随着总统的声望持续下跌，他们显然开始视他为负累。

went

v. 进行( go的过去式 )，去，进展；

例句
I went round the streets and found his new abode.
我走街串巷找到了他的新住所。

sky

n. 天（空）；vt. 将…击向空中，将…高挂；

例句
The sun has already set, leaving the sky afire with orange and green light.
太阳已经落山，但天空中还映照着如火般橙绿相间的余晖。

high

adj. 高的，高尚的，崇高的，高音调的，高级的，高等的；adv. （程度等）高地，高价地，奢侈地；n. 高处，高位，[气象学]高气压，高压地带，高水平；

例句
...abnormal heart rhythms and high anxiety levels.
心律不齐和高度焦虑