A / V + 도록 can be used to describe the extent to which something happens. It roughly equates to 'so much', 'to the point that' or 'in order to':
라디오를 들을 수 있도록 조용히 해 주세요.
Please be quiet so that I can listen to the radio.
우리는 2달이 지나도록 못 만났어요.
We haven't seen each other in over two months.
저는 목이 아프도록 울었어요.
My throat was so sore that I cried.
이 노래를 질리도록 들었어요.
I've listened to this song so many times I'm sick of it.
머리를 부딪치지 않도록 천천히 일어서세요.
So as not to bump your head, please stand up slowly.
숨을 못 쉬도록 빨리 뛰었어요.
I ran to the extent that I couldn't breathe.
Similarly, 정도로 can be used to say 'to the point that':
제가 모든 단어를 알 정도로 그 영화를 자주 봤어요.
I've watched that movie so often I know all of the words.
저는 토하고 싶을 정도로 과식을 했어요.
I overate to the point that I wanted to vomit.