Here's a quick derivation of how we find the 19.47 degree angle: https://personal.math.ubc.ca/~cass/courses/m309-01a/carmen/Mainpage.htm
And as always... if you like this type of content, you'll probably like our lectures on Game Physics:
Top-level
Here's a quick derivation of how we find the 19.47 degree angle: https://personal.math.ubc.ca/~cass/courses/m309-01a/carmen/Mainpage.htm And as always... if you like this type of content, you'll probably like our lectures on Game Physics: 2 comments
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@pikuma The page seems to have a formatting issue with the formula. They probably meant
atan(√(3) / √(6) / 2) = atan(√(2) / 4).
asin(1 / 3) seems to give the same result.
Edit:
a = √2
b = 4
c = √(a² + b²) = √18
a / c = 1 / 3
atan(a / b) = asin(a / c)