Step 1: Understanding the Question:
This question belongs to the topic of
Perspective Projection and Viewpoint Translation.
We are given a Top View of a stepped 3D block and an arrow indicating the position and direction of the observer. We must select the correct 3D perspective drawing corresponding to this specific viewpoint.
Step 2: Key Formula or Approach:
We use spatial layout mapping from the observer's line of sight:
• Identify which sections are tall and which are low.
• Project these sections onto the observer's left-to-right field of view.
• The observer is looking from the bottom-left corner, straight along the long axis of the block.
Step 3: Detailed Explanation:
• From the Top View, we observe:
- The block is divided into a taller L-shaped section on the left and back, and a lower rectangular step on the front-right.
• From the observer's viewpoint (looking up-right from the bottom-left corner):
- The tall section forms a vertical wall on the observer's immediate left.
- The lower step is positioned on the observer's right.
- The front face of the tall section is visible, and the left side wall is highly prominent.
• Let us analyze the options:
- Option A: Shows the tall wall on the right and the step on the left. This represents the view from the opposite side.
- Option B: Correctly places the tall L-shaped wall on the left, with the horizontal lower step situated on the right. The perspective lines converge correctly away from the viewer.
- Option C: Places the step at the very front and the tall wall at the back, which is incorrect.
- Option D: Shows a reversed block layout.
Step 4: Final Answer:
Option (B) is the correct perspective view.