Geometry Level 2

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

Assume the following values:

  • Δh=6\Delta h = 6 inches
  • Δx=2\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 22 decimal places.

If you think the answer can't be determined, please put 99999.

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