When more angles are given, it is typically the Sine Law, but not necessarily every time. I would always check to see if it fits the Cosine Law first. Look for all three sides (SSS) or a "sandwiched" angle, Side-Angle-Side, (SAS). If you do not see any of those it is likely you have to use Sine Law or you have to find additional information using angle properties.
You can use what is called a clinometer that measures angles. You can also use a digital level app on your phone. Hold it at eye level at 0 degrees and then tilt up or down until you see the object.