Reach the mountain high/height

Reach the mountain high/height?

We say "reach high(adverb)" and not "reach height(noun)".

'high' is used as an adverb as in "The eagle flies high."( 鷹飛得很高。)
"Reach the mountain high." means 上山上得很高。

To use 'height'，it can be written as "Reach the height of the mountain." or "Reach the mountain's height."(上到山頂). But the meaning is different.

我推薦您一個非常不錯的英語學習網站，里面有很多非常不錯的學習資源：

http://www.hkenglishstudy.info

希望可以幫到你!