Question

Find m∠D. Round to the nearest degree.

Answer 1

Law of Sines:
sin(D)/10 = sin(115)/17
sin(D) = 10*sin(115)/17
sin(D) = 0.53312222766861 <<-- make sure calculator is in degree mode
D = arcsin(0.53312222766861) <<-- inverse sine or sin^(-1) works here too
D = 32.2166549189876
D = 32 degrees

You have the correct answer. Nice work.