Answer:
The answer is A.
Step-by-step explanation:
We know two sides, and one angle of the corresponding side. Thus, we can use the Law of Sines to find the last angle.
The Law of Sines:
[tex]\frac{sin(A)}{A}=\frac{sin(B)}{B}= \frac{sin(C)}{C}[/tex]
Plug in what we know:
[tex]\frac{sin(38)}{70} =\frac{sin(C)}{108}[/tex]
Cross multiply:
[tex]70sin(C)=108sin(38)[/tex]
[tex]sin(C)=\frac{108sin(38)}{70}[/tex]
[tex]C=arcsin(\frac{54sin(38)}{35} )[/tex]
[tex]C \approx 71.7827[/tex]
