how do you find the angle of a roof rise if it is built on a 1:4 slope

Question

How do you the roof rise angle on a shed built on a 1:4 slope.

Answer 1

x = r cosѲ

y = r sinѲ

y/x =  (rsinѲ)/(rcosѲ)  = tanѲ

slope = m = rise/run = y/x

y/x = tanѲ

Ѳ = tan^-1(y/x)

Ѳ = tan^-1(1/4)

Ѳ = tan^-1(0.25)

Ѳ = 14.036

Angle of the roof is 14.036 degrees.