Can you give us some context so we have some idea what to try?
Is this for a class in which some topics have been covered, or something more like a contest? Do you have reason to think the answer should be exact, and amenable to geometry, or is trigonometry appropriate? Have you tried? What have you tried?
I drew it up and found your answer is correct, and I can think of some potentially relevant theorems, but have no specific ideas:
On the other hand, in drawing this I did find something interesting: the angle doesn't seem to matter! So don't focus on that.
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