Using the derived

w = 4146.847" = 105.33 meters

and the granite computed Petrie Menkaure height of 65.55 meters one can compute the total Giza - three pyramid volume. It comes out to be:


V = 5055009 cubic meters

Now lets say we build a pyramid with a half base length equal to the height of Kafre's pyramid that is 143.56 meters. We choose a slope so that the volume of the pyramid is exactly the same as the above total Giza pyramid volume. Then we can compute the slope of the pyramid:

V = w^2 x h'/3 = (2 x h)^2 x h'/3
h' = (w/2) x tan(phi) = h x tan(phi)

V = h^3 x 4 x tan(phi)/3 => tan(phi) = V x 3/(4 x h^3) = 1.2813 =>
phi = 52.0315 degrees

The apex - complementary angle is:

t = 37.9685°

The Parthenon latitude is 37.9715°.

This angle is the mean Giza apex angle.