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The image on the right shows the new Poolbeg Incinerator in Dublin - Leaving Cert DCG - Question B-1 - 2018
Question B-1
The image on the right shows the new Poolbeg Incinerator in Dublin. Fig. B-1 shows the plan and elevation of a similar structure. A pictorial view of the structure ... show full transcript
Worked Solution & Example Answer:The image on the right shows the new Poolbeg Incinerator in Dublin - Leaving Cert DCG - Question B-1 - 2018
Step 1
Draw the given plan and make a perspective drawing of the structure
Answer
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Required Plan: Begin by drawing the required outer and inner portions of the plan as given.
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Establish Ground Line and Horizon Line: Clearly mark the ground line (GL) and the horizon line (HL) in your perspective drawing, ensuring that the horizon is set at 10m above the ground line.
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Vanishing Points: Establish the vanishing points based on the viewer position, point S, and the picture plane. Use appropriate scaling to ensure accuracy.
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Perspective Drawing of Vertical Edge: Draw the perspective view of vertical edges, aligning them with the respective vanishing points.
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Draw Rectangular Front Face: Create the perspective ...
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Sloping Lines on Surface B: Use auxiliary vanishing points to determine the sloping lines on surface B, which are inclined at a 20° angle to the horizontal plane. This step requires drawing lines that lead to the auxiliary point, ensuring they correctly depict the slant.
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Upper and Lower Face: Complete the perspective drawing of both the upper rectangular face and the lower face. Make sure to emphasize the depth and alignment with the horizon and ground lines for clarity.
Step 2
A vertical chimney is located at position C.
Answer
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Chimney Perspective: Position the chimney at point C, projecting its height upwards to a total of 20m. Ensure the chimney aligns correctly with the existing perspective view of the structure.
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Drawing the Chimney: Sketch the vertical chimney, maintaining proper proportions relative to the drawing's scale, ensuring it fits in with the overall perspective layout.
Step 3
Determine the angle of elevation when viewing the top of the chimney from point S.
Answer
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Calculate Angle of Elevation: Use trigonometric relationships to determine the angle of elevation. Given the height of the chimney (20m) and the distance from S to the base of the chimney, apply the tangent function:
Where the opposite side is the height of the chimney (20m) and the adjacent side is the horizontal distance from point S to the base of the chimney. Calculate the angle using the inverse tangent function to find θ.