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The image on the right shows the Crystal Building in London which is one of the world’s most sustainable buildings - Leaving Cert DCG - Question B-2 - 2020
Question B-2
The image on the right shows the Crystal Building in London which is one of the world’s most sustainable buildings. The geometry of the crystal-shaped design include... show full transcript
Worked Solution & Example Answer:The image on the right shows the Crystal Building in London which is one of the world’s most sustainable buildings - Leaving Cert DCG - Question B-2 - 2020
Step 1
Draw the given elevation and plan of the intersecting planes ABC and ABD.
Answer
To draw the elevation and plan of the intersecting planes, begin by plotting the given coordinates for points A, B, C, and D on a grid, ensuring that each coordinate is connected appropriately to reflect the spatial arrangement of the planes. Use a scale of 1:1 as indicated in the question. Connect points A, B, C, and D to form the required planes. Ensure to include all intersection lines clearly.
Step 2
Determine the dihedral angle between the planes ABC and ABD.
Answer
To determine the dihedral angle, first define the line of intersection between planes ABC and ABD, identifying the relevant projections. Measure the angle formed between these two planes using the perpendiculars drawn to the intersection line from a reference plane, and apply trigonometric ratios as needed to calculate the angle.
Step 3
Draw the elevation and plan of a horizontal line on the plane ABC which shall pass through point B. Hence: Determine the angle of inclination of the plane ABC to the horizontal plane.
Answer
Begin by drawing the horizontal line passing through point B on plane ABC. Show the projections of this line on the horizontal plane and the vertical plane. The inclination angle can be established by measuring the angle between this horizontal line and a vertical reference line in the view of plane ABC.
Step 4
Step 5
Complete the projections of the plane ADE.
Answer
Begin by determining the coordinates for point E based on the information provided. Draw the elevation and plan for plane ADE, ensuring the correct angles are maintained. Complete the projections by indicating where plane ADE intersects with other existing planes; clearly label all lines and areas of intersection.