height是high的名词形式，意思是身高、高度。具体数值的高度，是用...feet/metres in height = a height of...feet/metres 表示。
The plane flew at a height of 3 000 metres.
飞机在3 000米的高空飞行。
It is almost 2 metres in height .
它差不多有2米高。
The tree is 30 meters in height.
这棵树高30米。
height 还有一个意思是高处、高地，是可数形式，恐高就可以说 a fear of/be afraid of heights。在一些特定的地名中，是用复数形式 heights 表示。height从高处可以衍生出高水平或成功、收获的意思，rise to/reach new/great/dizzy heights 意思就是达到新的高度。例句：
He doesn't have a head for heights (= is afraid of high places) .
他惧高。
I'm not afraid of heights.
我不恐高。
Recently the speculation has reached new heights
最近猜测又升级了。
They took ice dancing to new heights.
他们将花样滑冰带到了一个新的高度。
We looked out over the city from the heights of Edinburgh Castle.
我们从爱丁堡城堡所在的高处俯视整个城市。
Their success had reached new heights .
他们的成就达到新高水平。
She dreamed of reaching the dizzy heights of stardom.
她梦想达到超级巨星的地位。
the height of sth
极端；极度
It would be the height of folly (= very stupid) to change course now.
现在改变方向可谓愚蠢至极。
He was struck down at the height of his career
他在事业达到巅峰时病逝了。
At the height of the summer season there can be up to 42,000 people inBenidorm.
在夏季高峰期，贝尼多姆的人口可达4.2万人。
She was dressed in the height of fashion .
她穿着最时髦的衣服。
The hip-hugging black and white polka-dot dress was the height of fashion.
黑白圆点花纹的紧身连衣裙当时是最时尚的。
At its height Bletchley Park employed 12,000 people
布莱奇利园的雇员数在巅峰时期曾达1.2万人。
《柯林斯高阶英汉双解学习词典》
I think it's the height of bad manners to be dressed badly
我认为衣着不当是最没有礼貌的行为。
This is the height of hooliganism.
这真是流氓至极。
《柯林斯高阶英汉双解学习词典》