Woojin L.

# The Gateway Arch in St. Louis, MO, is 630 feet high and 630 feet wide at ground level and can be modeled with the equation of a parabola.

a) Find the equation that provides a model for the Gateway Arch.

b) If a banner is to be hung across the arch at a height of 100 feet, how long will the

banner have to be?

c) How high is the arch 75 feet from either base?

d) If a coin was dropped straight down from the arch at a height of 400 feet, how far

from the center of the arch would it hit the ground (assuming its path not affected

by any outside force other than gravity)?