Photo AI
The image below shows a bridge in Fitzgerald Park, Cork - Leaving Cert DCG - Question A-2 - 2021
Question A-2
The image below shows a bridge in Fitzgerald Park, Cork. The symmetrically designed structure includes tangential arcs A, B, and C which have the same radius. The d... show full transcript
Worked Solution & Example Answer:The image below shows a bridge in Fitzgerald Park, Cork - Leaving Cert DCG - Question A-2 - 2021
Step 1
(a)(i) Locate centre for arc C
Answer
To locate the center for arc C, follow these steps:
- Identify the tangential points on arcs A and B where arc C will connect.
- Using a compass, place the compass point at one of the tangential points on arc A, and draw an arc that passes through the tangential point of arc B.
- Repeat this step with the compass point at the tangential point of arc B, drawing a new arc that intersects with the previous arc.
- The intersection of these two arcs will provide the center point for arc C.
Step 2
(a)(ii) Draw tangential arc C
Answer
With the center point located, proceed to draw arc C:
- Set the compass width to match the desired radius of arcs A and B.
- Center the compass at the intersection point found previously.
- Draw arc C carefully, ensuring it remains tangential to both arcs A and B, extending from one tangential point to the other.
Step 3
Step 4
(b)(iv) Locate bottom contact points
Answer
To find the bottom contact points:
- Analyze the structure below arc C which visually aligns with the ground level.
- Determine where arc C would theoretically meet the ground or the lower edge of the bridge structure.
- Mark these points as the bottom contact points.