Calculation example - Calculate inclined angle of a bend

Calculate the inclined angle φ of a bend along a bended path.

Known values:

Horizontal angle θ.

Vertical angles α, β.

Solution: Angle φ in inclined plane AB₁C.

In vertical triangles ABB₁ and CBB₁:

In triangle ABC,

Similarly, in triangle AB₁C,

Then

That is

Since

That is

Then