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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 6501 B 3638 And C 4205 Round Your Answer To Two Decimal Places class=

Sagot :

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

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

the answer is rounded to two decimals

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