Question

Anyone get this geom?

Answer 1

The answer is A.

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:

`(sin(A))/(A)=(sin(B))/(B)= (sin(C))/(C)`

Plug in what we know:

`(sin(38))/(70) =(sin(C))/(108)`

Cross multiply:

`70sin(C)=108sin(38)`

`sin(C)=(108sin(38))/(70)`

`C=arcsin((54sin(38))/(35) )`

`C \approx 71.7827`