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The image on the right shows the air traffic control tower at Newcastle airport - Leaving Cert DCG - Question C-2 - 2020
Question C-2
The image on the right shows the air traffic control tower at Newcastle airport. It includes a hyperboloid of revolution and three truncated cones. The projections ... show full transcript
Worked Solution & Example Answer:The image on the right shows the air traffic control tower at Newcastle airport - Leaving Cert DCG - Question C-2 - 2020
Step 1
Draw the given plan and elevation.
Answer
Start with presenting the elevation view which displays the hyperboloid structure clearly, noting the dimensions and curvatures. Then, transition to the plan view showing the horizontal alignment of the tower's base. Ensure to label major points such as vertices and asymptotes for clarity.
Step 2
Determine the positions of the directrices and focal points of the double hyperbola in elevation.
Answer
Identify the directrices of the hyperbola in the elevation drawing. These are positioned based on the calculated distance from the center of the hyperbola. The focal points can be found by determining the distance from the vertices along the asymptote lines.
Step 3
Draw the projections of the line PQ and determine the length of the shortest perpendicular distance from the point S to the line PQ.
Answer
First, sketch the line PQ on the elevation drawing as it represents the flight path. Then, to find the shortest distance from point S to line PQ, draw a perpendicular line from S to PQ. Measure this distance carefully, ensuring the correct scale is applied.