# Catenary?

Geometry Level 2

If you dangle a chain, as shown in the picture above, it forms a hyperbolic cosine function.

Assume the following values:

• $$\Delta h = 6$$ inches
• $$\Delta x = 2$$ feet.

What is the distance from the left (lower) side to the lowest point of the chain, in inches?

Give your answer to $$2$$ decimal places.