The Great Pyramid of Cheops at Giza in Egypt has a square base of side length 230 m. The angle of elevation of one triangular face is 52°. Determine the measure of the angle 𝜃 between the height and one of the edges where two triangular faces meet.
the height h = 115 sin52° = 90.62 m
the distance from the center of the base to a corner is d = 115√2 = 162.63 m
that makes tanθ = d/h = 1.79
so θ = 60.87°