Yes, it is called spurious accuracy.
That said, tan16.09 (~40%/1 in ~2.5) is very steep. If I recall correctly, hardknot pass is 1 in 3 at its steepest.
1 in 3 is what I've always understood to be the gradient of Hardnott Pass, and it certainly seemed like that when I drove up it 35 years ago. I remember an article in the Guardian in the 1960s where the writer had enjoyed watching cars going up and the drivers thinking it was quite easy till they got to a bend followed immediately by a much steeper section, where they stalled because they hadn't yet engaged first gear.
When I was in primary school I remember being told about gradients, expressed in those days as ratios, and my recollection is that most people understood that 1 in 4 is very steep, whereas if a road is 1 in 20 you'd hardly feel it mattered, but would be highly unusual for a railway.
When road gradients began to be expressed as percentages, my way of converting them was to divide the percentage into 100. E.g. if it's 25%, 100/25 = 4 so the gradient is 1 in 4. 12% is 100/16 = 8 and a bit, so it's moderately steep at 1 in 8.3. 10% or less and you wonder why they bothered to tell you.