Anyone get this geom?

Question

asked Apr 25, 2021 216k views

1 Answer

Roland Ettinger · Answer 1 · 2021-04-29T15:07:51+0000

Answer:

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) )

$C \approx 71.7827$