/jp/ - Otaku Culture

>>5213173
>official height for the tower(s)?
Nothing official, but I've made estimates based on a few guesses and math. Given our only point of reference for the height of the tower is a guess at the angle to the horizon line and the size of the planet we can get a rough estimate at the height of the tower as follows:

The horizon line from the top of the tower is tangent to the surface of Ar Ciel (small assumption that it is a perfect sphere).
The towers are effectively vertical and the distance from the top of the tower will be the radius of Ar Ciel plus the height of the tower.
From the top of the tower, the angle between the horizontal plane and the horizon line is the same as the angle between the tower and the the center of Ar Ciel and the horizon tangent point.

cos(Theta) = R/(R+H)
(R+H)*cos(Theta) = R
R+H = R*sec(Theta)
H = R*sec(Theta) - R
H = R*(sec(Theta) - 1)

Assuming Ar Ciel is roughly the size of Earth and the angle between the horizontal and the horizon from the Rinkernator is about 30 degrees, this gives a height for Sol Ciel of ~600miles or ~1000km.

//I may or may not have way too much time on my hands
///These numbers are entirely dependent on a number of baseless assumptions
////I offer no assurances to the correctness of this math nor do I believe the official numbers will be anything like this