Proving, Applying Laws of Sines/Cosines Practice Test

In the diagram, $ABC$ is not a right triangle. The included angle at $A$ is $\theta$, with $AB=c$, $AC=b$, and $BC=a$.

Which setup correctly applies the Law of Cosines to solve for $\cos\theta$ in terms of $a$, $b$, and $c$?

In triangle $ABC$ (not right), an altitude $CD$ is drawn to $AB$. Given $AC=8$, $BC=11$, and $\angle A=35^\circ$, which plan correctly uses the altitude to justify a Law of Sines relationship and then find $\angle B$?