I would like to build a Shulchan (Reading Table) for my local Chabad House.
I'm wondering how tall it should be at the end where one stands, and at what angle the top should be?
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I'm unaware of any specific halachic dimensions that are required. However, in viewing the common "Ashkenazy" type shulchanot on this site it seems that their common dimensions are 150 cm x 90 cm x 120 cm high with minor variations.
My own thinking, for what it's worth and from my having been a Ba'al Kri'ah in many shuls of varying types, here are some factors to consider:
A minor additional factor that you may want to consider is having ample storage space depending on what you wish to store under the shulchan top. Most shuls store a few siddurim and a haftarah book and perhaps a few tallitot. Those don't require much space. However, my shul stores bottles of wine for Kiddush (yes, it's aged and awful, too), so if you'll be doing that or something similar, you'll need more room, and, that may increase the shulchan's height.