C_Self

Arch height - 630 feet []

Arch equation - -.0064x^2 + 630

Willis Tower = 1,450 feet []

Arch scale change y= -.0064x^2 + 630

630/1450= .43

S (x,y) -> (x /.43, y /.43)

a: 1/.43 = 2.33 b: 1/.43 = 2.33 2.33 (y /2.33)= (-.0064 / 2.33) x^2 + (630) 2.33

y = -.0027x^2 + 1467.9

Willis Tower sized Arch

Space Needle = 605 feet []

Arch scale change y = -.0064x^2 + 630

630/605 = 1.04 S (x,y) -> (x / 1.04, y / 1.04)

a: 1 / 1.04 = .96 b: 1 / 1.04 = .96

.96 (y / .96) = (- .0064 / .96) x^2 + (630) .96

y = -.0067x^2 + 604.8

Space Needle sized Arch

Eiffel Tower = 1063 feet []

Arch scale change y = -.0064x^2 + 630

630 / 1063 = .59

S (x,y) -> (x / .59, y / .59)

a: 1 / .59 = 1.70 b: 1 / .59 = 1.70

1.70 (y / 1.70) = (-.0064 / 1.70) x^2 + (630) 1.70

y = -.0038x^2 + 1071

Eiffel Tower sized Arch