# Gateway Arch May 2008 by huanghengdong

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• pg 1
```									The Gateway Arch

St. Louis, Missouri

aka The Jefferson
National Expansion
Memorial
http://www.nps.gov/jeff/

The Gateway Arch reflects St. Louis’ role
in the Westward Expansion of the United States
during the nineteenth century.
The park is a memorial to Thomas Jefferson’s
role in opening the West, to the pioneers who
helped shape its history, and to Dred Scott who
sued for his freedom in the Old Courthouse.
Thomas Jefferson’s vision of the spread
of freedom and democracy from
“sea to shining sea reflects St. Louis’
role as The Gateway to the West.
The view from the top of the Gateway Arch:
The view from the top of the Gateway Arch.
The Old Courthouse, site of the Dred Scott trial.
The view from the top of the Gateway Arch.
The base of the Arch.
View of the Arch walking to Busch Stadium.
THE GATEWAY ARCH PROBLEM

On a trip to St. Louis you visit the Gateway Arch.
Since you have time on your hands, you decide to
estimate its height. You measure the distance across the base
of the arch to be 162 m. You also measure a height of 4.55 m
when you are 1 m away (horizontally) from the bottom of the
arch.
NOTE: Assume that the arch is a parabola.

a) Find the equation of the underside of the arch.
b) Find the height of the arch.
c) An airplane with a wingspan of 40 m tries to fly
through the arch at an altitude of 170 m.