Question

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

Answer 1

Answer:

Step-by-step explanation:

You have to use the Law of Cosines here.  Filling in the formula for it:

$x^2=30^2+23^2-2(30)(23)cos66$

Simplifying a bit:

$x^2=900+529-1380cos66$

1380 times the cosine of 66 = 561.2965674, so

$x^2=1429-561.2965674$ and

$x^2=867.7034326$ so

x = 29.456