Question

Find AC , round all answers to the nearest tenth​

Answer 1

AC = 14.0

Explanation:

We know that this is a non-right triangle, so we must use either the law of sines or law of cosines to find AC.

We can find the measure of <C using 180 - (118 + 22) = 40

Since we only know one side and all the angles, we can use the law of sines:
`(a)/(sin A)=(b)/(sin B)=(c)/(sin C)`

`(24)/(sin 40)=(AC)/(sin 22)`

Solving for AC gives us AC = 13.986826, which we can round to 14.0