Use the Law of Cosines to determine the indicated angle 𝜃 (in degrees) shown in the following figure. (Round your answer to one decimal place.)

Question

A triangle is given.

1. The first side of length 24 is opposite the angle 𝜃. (C)
2. The second side of length 19 is opposite an unlabeled angle.
3. The third side of length 12 is opposite an unlabeled angle.

𝜃 =  ?°

Answer 1

Use this form of the law of cosines:

cos A = (b² + c² - a²) / (2bc)

a is the side across from (or opposite to) angle A.

The result is 98.96 degrees, approximately, or 99.0 degrees to one decimal place.

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