Find the side length, x, of the given triangle.

Answer:
Step-by-step explanation:
You have to use the Law of Cosines here. Filling in the formula for it:
[tex]x^2=30^2+23^2-2(30)(23)cos66[/tex]
Simplifying a bit:
[tex]x^2=900+529-1380cos66[/tex]
1380 times the cosine of 66 = 561.2965674, so
[tex]x^2=1429-561.2965674[/tex] and
[tex]x^2=867.7034326[/tex] so
x = 29.456