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Piyush Shrivastava · Answer 1 · 2023-06-10T14:10:13+0000

Answer: 62.2 degrees

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Step-by-step explanation:

The given side lengths are

a = 9
b = 5
c = 8

Use the law of cosines to determine angle C.

$c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\8^2 = 9^2 + 5^2 - 2*9*5*\cos(C)\\\\64 = 106 - 90*\cos(C)\\\\64-106 = -90\cos(C)\\\\-42 = -90\cos(C)\\\\-90\cos(C) = -42\\\\\cos(C) = -42/(-90)\\\\\cos(C) \approx 0.4666667\\\\C \approx \cos^(-1)(0.4666667)\\\\C \approx 62.1818586^(\circ)\\\\C \approx 62.2^(\circ)$

Make sure your calculator is in degree mode.

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1 Answer

Answer: 62.2 degrees

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