Question

Find the value of x.
Round to the nearest tenth.

Answer 1

C ≈ 22.1°

Explanation:

The law of cosines formula is given. Solving it for C, we find ...

C = arccos((a^2 +b^2 -c^2)/(2ab))

where a and b are the sides adjacent to the angle.

Then we have ...

C = arccos((14^2 +19^2 -8^2)/(2·14·19)) = arccos(493/532)

C ≈ 22.1°

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If you have a fair number of these to do, a spreadsheet is a useful tool. There are also triangle solver apps on the web or your local smart platform that will do this, too.