Okay, let's break this down step-by-step:
First, we are told that the ground is flat. This means the ground is a flat plane.
Next, we are asked if WN is parallel to the ground.
To determine if two planes are parallel, we can use the Parallel Plane Theorem from geometry. This states:
If two distinct planes are parallel to the same plane, then the two distinct planes are parallel to each other.
In this case:
- The ground is a plane
- WN is a distinct plane
- We are given that the ground is flat, meaning it is parallel to itself (any plane is parallel to itself)
Applying the Parallel Plane Theorem:
- The ground is parallel to itself
- WN and the ground are distinct planes
- Therefore, since the ground is parallel to itself, and WN is a distinct plane, WN must be parallel to the ground.
In conclusion, yes, given the ground is flat, WN is parallel to the ground based on the Parallel Plane Theorem. The theorem allows us to conclude two distinct planes are parallel if they are both parallel to the same plane, which is the case here.