What angle should I cut a miter joint at? vs. At what angle should I cut a miter joint? [closed]
Solution 1:
There was, at one time, a serious prohibition against putting a preposition after its object. This came, according to the Oxford Dictionaries, from Latin where "the rule is that a preposition should always precede the prepositional object that it is linked with: it is never placed after it."
But Oxford also notes several instances where it is more natural to put the preposition after its object: passive structures, relative clauses, infinitive structures, and some questions.
So, really, it's up to you and what sounds best. Grammarly does note that it is more casual to end a sentence with a preposition.
I will note that, unless things get really unwieldy, I avoid putting the preposition after its object -- your example of at what angle should I cut a miter joint? seems perfectly natural to me and even one of the Oxford Dictionaries examples -- Tom had no-one to play with would, in my opinion, be better as Tom had no-one with whom to play.
Hope this helps.