Presumably you intend to do this with a handheld drill motor or something similar?
I would first prepare a 55deg angle guide block that could be clamped in place to guide the drill.
The biggest problem is getting the drill started. Once it's immersed in the material it can drill as usual but standard drills are not suited to starting hole at such an angle. A machinist would first use a (flat-ended) milling cutter to make an angled flat in the material so the (angled) drill could begin drilling on a surface perpendicular to its point.
If you don't have a milling cutter, perhaps you can grind a surplus drill such that it's a flat-ended cutter. This is done all the time to create flat-bottoms in holes drilled with conventional drills.

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that is not the point of this question.
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