Answer:
D
Step-by-step explanation:
Using the law of sines in ΔABC, then
[tex]\frac{c}{sinC}[/tex] = [tex]\frac{a}{sinA}[/tex]
Substituting in values gives
[tex]\frac{c}{sin31.6}[/tex] = [tex]\frac{25}{sin38}[/tex] ( cross- multiply )
c × sin38° = 25 × sin31.6° ( divide both sides by sin38° )
c = [tex]\frac{25(sin31.6)}{sin38}[/tex] ≈ 21.28 → D
