Let's dig it together.
Telling somebody to do something (a command)
让他在外面等一下
rang4 ta1 zai wai4mian5 deng3 yi1xia4
Tell him to wait outsize
公司让我来中国
gong1si1 rang4 wo3 lai3 zhong1guo2 gong1zuo4
Company had me come to China to work
To let / to allow somebody to do something
让我看一下
rang4 wo3 kan4 yi1xia4
Let me have a look
让一下
rang4 yi1xia4
let me go through
让坐
rang4zuo4
Let me sit down
给他让座
gei3 ta1 rang4zuo4
Let him sit down (by give up one's seat for somebody else)
让我想一想
rang4 wo3 xiang3 yi1 xiang3
Let me think about it
To cause someone to feel someway
让我很难过
rang4 wo3 hen3 nan2guo4
To make me feel sad
让我很生气
rang4 wo3 hen3 sheng1qi4
To make me feel angry
让我感到很尴尬
rang4 wo3 gan3dao4 hen3 gan1ga4
To make me feel embarrased
Source: ChinesePod - Qingwen