Answer:
C = 72.97°
Step-by-step explanation:
Known side b (=13) is opposite known angle 47 deg, and
known side c (=17) is opposite unknown angle C. This situation calls for the application of the Law of Sines:
13 17
------------ = -----------
sin 47° sin C
Solving this equation for sin C, we go through the following procedure:
Cross multiply, obtaining 13sin C = 17°sin 47°, or
17sin 47°
sin C = ---------------- = (17/13) sin 47° = 1.308 sin 47° = (1.308)(0.731)
13
Then sin C = 0.956
The angle C is equal to arcsin 0.956: C = 72.97°
Then
