Question: The distance between the towers of the main span of the Golden Gate Bridge is about 1280 m; the sag of the cable halfway between the towers on a cold day is about 143

m. See figure.

1. How long is the coble, assuming it has an approximately parabolic shape? (Represent the cable as a parabola of the form \(y=k x^{2}\) : determine \(k\) to at least 1 . decimal place,
2. On a hot summer day the cable is about \(0.05 \%\) longer, due to thermal expansion. By how much does the sag increase? Assume no movement of the towers.

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