The structure below is called a false arch,

which looks like an arch but doesn't have all

of the structural characteristics of an arch.

This type of construction was used by the

Mayans and other civilizations throughout

history. Each block is as far to the right as

it can be without tipping. Define the distance

from line A$-$B to the left end of a block as

x$.$ Assuming all of the blocks are identical in

size and weight, the arch is eight blocks high,

and the bottom layer is positioned at $x=0,$

determine the geometry of the arch in terms

of $x$ at each level.