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 CSolving 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) 13Then sin C = 0.956The angle C is equal to arcsin 0.956: C = 72.97°Then