How do we find the angle between a vector and a plane? There are multiple methods, but as we have not discussed planes yet, how could we solve this in this context? What do we need to look for in order to calculate this angle?
We need to find the vector, which is a projection of the direction of the helicopter onto the [math]XY[/math] plane. Within this context, it will be have the same [math]x[/math] and [math]y[/math] components, and [math]z=0[/math]. This is more complex for planes not perpendicular to our axes.