Topic: Kinematics
Concepts: Projectile motion, Vectors

Solution:

Since the object is undergoing projectile motion, its acceleration is always directed downward with magnitude $g$. At any point along the trajectory, we can split $g$ into a tangential component parallel to the velocity and a perpendicular component. The direction of the velocity vector can be determined from its horizontal and vertical components. From kinematics, we know

This can be related to the acceleration components by similar triangles. We have

In our case, we want

In this time, the object falls a distance

Since $y<h$, the building is high enough for this to occur so the answer is A.