This activity is intended to supplement Calculus, Chapter 5, Lesson 3.
Part 1 – Arc Length Introduced
The Gateway to the West is an inverted catenary arch in St. Louis that is about 630 feet tall and 630 feet wide at its base. A catenary (a hyperbolic cosine function) is the shape that a chain or cable forms when it hangs between two points. The shape of the Gateway Arch can be modeled by the following equation:
1. If you were to ride in the elevator tram of the Gateway Arch, you would travel at least how far to get to the top? Explain.
Part 2 – Additional Practice