▲你说得没错，以“介词+疑问句”（如 whom /which / what / whose / where / when 等）开头的特殊疑问句是一种比较正式的表达，在非正式文体中，这样的介词通常可以放到句末去。又如：

正式：To whom were you talking? 你刚才在跟谁谈话？

非正式：Who were you talking to? 你刚才在跟谁谈话？

正式：In which drawer does he keep it? 他把它存放在哪一个抽屉里？

非正式：Which drawer does he keep it in?他把它存放在哪一个抽屉里？

▲但是，to what degree 是一个固定搭配，不宜拆开使用，下面两句句首的介词 to 不宜放到句末：

To what degree is he wealthy? 他富裕到什么程度？

To what degree are you interested in Japanese? 你对日语的兴趣达到了什么程度?

▲《柯林斯高阶英汉双解学习词典》在 degree 词条有这样一条用法：

You use expressions such as to what degree and to the degree that when you are discussing how true a statement is, or in what ways it is true.

To what degree would you say you had control over things that wenton? 你认为发生的事情在多大程度上是在你的掌控之下？