Answer:
d. 50°
Using Sine rule:
[tex]\sf \dfrac{sin(A)}{a} = \dfrac{sin(B)}{b}[/tex]
Insert the values:
[tex]\rightarrow \sf \dfrac{sin(36)}{11.9} = \dfrac{sin(D)}{15.6}[/tex]
[tex]\rightarrow \sf sin(D) = \dfrac{15.6 \ sin(36)}{11.9}[/tex]
[tex]\rightarrow \sf sin(D) = 0.770542[/tex]
[tex]\rightarrow \sf D = sin^{-1}(0.770542) = 50.4 \quad \approx \quad 50^{\circ \:}[/tex]
