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Problem 555

Let \(a, b, c\) be the lengths of the sides of a triangle and let \(\theta\) be the angle opposite the side of length \(c\). Find the differential do and approximate c when \(\mathrm{a}=6.20, \mathrm{~b}=5.90\), and \(0=58^{\circ}\).

Expert verified

In conclusion, the differential \(dc \approx 6.142\) and the approximate length of side \(c\) when \(a = 6.20\), \(b = 5.90\), and \(\theta = 58°\) is \(c \approx 5.42\) units.

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