Roof angle

The roof of the house has the shape of an isosceles triangle with arms 4 m long and the size of the base 6 m. How big an angle alpha does its roof make?

Correct result:

A =  41.4096 °

Solution:

r=4 m z=6 m  a=z/2=6/2=3 m  cos⁡A=a:r  A=180∘π⋅arccos⁡(a/r)=180∘π⋅arccos⁡(3/4)=41.4096∘=41∘24′35"

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