How to calculate bike stand-over height using frameset geometry and wheel radius?
A good approximation can be made using some basic trigonometry and common sense.

I will use WR as wheel radius (i.e. half the wheel diameter) and the numbers refer to the distance indicated in the picture you uploaded.

First of all, the height of the vertical tube (aka the vertical projection of the tube) is just sin(5)*1.

Then the distance between the ground and the bottom bracket is WR - 8.

So, the distance from the ground to the top tube would be H = sin(5)*1 + (WR - 8)