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The drawing on the right shows a partially completed perspective projection of a tennis court - Leaving Cert DCG - Question A-4 - 2014
Question A-4
The drawing on the right shows a partially completed perspective projection of a tennis court. (a) The position of one of the vanishing points, VP₂, is shown. Locat... show full transcript
Worked Solution & Example Answer:The drawing on the right shows a partially completed perspective projection of a tennis court - Leaving Cert DCG - Question A-4 - 2014
Step 1
Determine second Vanishing Point (3)
Answer
To find the second vanishing point, , follow these steps:
- Vertical Line from Point S: Draw a vertical line from point S to establish VP₁ in plan. This line helps in determining the direction of the vanishing point in perspective view.
- Locate VP₁ on the Horizon Line: Identify where the vertical line intersects the Horizon Line; this point is VP₁.
Step 2
Perspective of Tennis Court (14)
Answer
Follow these steps to complete the perspective projection:
- Establish Directions for Left and Right Sides of Court: Identify the direction lines for the left and right edges of the tennis court.
- Join Points to Spectator in Plan: Create lines that connect the endpoints of the court with a point representing the spectator in the plan view. Ensure at least 4 points are connected appropriately.
- Project to Perspective View: Use the established points to project the perspective view. This involves converting the plan view points into their corresponding points in perspective.
- Completion of 3 Required Lines to VP₂: Draw three required lines that connect from different points of the court to VP₂ to establish the depth and angles accordingly.
- Completion of Remaining Line to VP₁: Finally, connect the remaining points to VP₁ to finalize the projection of the court.
Step 3
Determine true height of the net (3)
Answer
To calculate the true height of the net:
- Determine Net Height in Projected View: Measure the height of the net as shown in the perspective drawing.
- Use the Given Ratio: The height measurement from the perspective must be adjusted based on its relation to the standard heights of tennis nets. Typically, the standard height of a tennis net is 1.07 m (3.5 ft).
- Final Calculation: If the projected height is found to be 'x' units, the true height can be determined using the formula: ext{True Height} = rac{x}{ ext{Projection Ratio}}