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Use the Law of Cosines to determine the indicated angle 0. (Assume a = 65.01, b = 36.38, and c = 42.05. Round your answer to two decimal places.)

Use the Law of Cosines to determine the indicated angle 0. (Assume a = 65.01, b = 36.38, and-example-1
User AnD
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a = 65.01, b = 36.38, and c = 42.05.

And it is required to find the measure of angle 0 which will be the angle B

Using the law of cosine


\begin{gathered} b^2=a^2+c^2-2\cdot a\cdot c\cdot\cos B \\ \cos B=(a^2+c^2-b^2)/(2\cdot a\cdot c)=(65.01^2+42.05^2-36.38^2)/(2\cdot65.01\cdot42.05)=0.854 \\ \end{gathered}
\angle\emptyset=\angle B=\cos ^(-1)0.854=31.31

the answer is rounded to two decimals

User Ar Maj
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