Question

Find the the measure of angle C

Answer 1

C = 72.97°

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