Draw the given plan and elevation and construct a perspective drawing of the structure given the following: - The spectator point is 58m from the corner A - The picture plane is touching the corner A - The horizon line is 5m above the ground line - Leaving Cert DCG - Question B-3 - 2013

Next, draw the plan view at the base of the pyramid, ensuring that the corners are marked at 2m intervals. Include diagonal lines that connect the corners to illustrate the structure clearly.

Finalize the plan by ensuring that all details, such as the spectator point and the picture plane, are clearly marked. The outline should be crisp and distinct.

Position the spectator point 58m from corner A which is at the base of the pyramid. The picture plane should be visually represented touching corner A.

Indicate where the vanishing points are located in the drawing, ensuring to use terminology familiar within architectural perspective sketching.

Set the ground line distinctly and draw the horizon line at 5m above it. Ensure to mark the vanishing points in relation to the viewpoint and the elevation provided.

Draw the projections of the sloping edges from the entrance of the pyramid back to the spectator point, utilizing the auxiliary vanishing point to create accurate angles.

Begin by translating the given coordinates of points A, B, C, and D into a graphical format. Mark point A at (100, 30) and (100, 20), point B at (140, 80), point C at (100, 20), and point D at (120, 40).

Identify the coordinates for points A and B; create a line connecting these points in the drawing to represent the skew line AB.

Indicate the elevation of line AB within the plan, ensuring it runs parallel to both given points.

Draw the perpendiculars from the established horizontal lines to indicate the proper dimensions and distances between the skew lines.

From the established skew lines, project their angles onto the first auxiliary elevation for clarity.

Finally, calculate and indicate the shortest distance between the two skew lines AB and CD using a consistent measurement scale, ensuring to mark the distances on the drawing appropriately.