Supplemental Exhibit — Rooftop Geometry

Line of sight from the Losee rooftop

Can a position on the Losee building rooftop actually see the lowest level of the fountain courtyard — the tent — or does the courtyard-facing roof edge block the view? This exhibit resolves the geometry along the mapped n-wave source → tent line. A sightline must originate high enough above the roof, and close enough to the edge, to clear that edge and reach the tent below.

The controls below are live: set the parapet height at the roof edge and the setback of a position from that edge, and the tool computes the minimum muzzle/eye height needed for a clear sightline — plus the governing height-to-setback ratio.

516 ft
Horizontal · source → tent
71.6 ft
Vertical drop to tent
7.9°
Direct depression angle
0.145
Height ÷ setback ratio
Inputs
3.5 ft
20 ft
5.5 ft
✓Clear line of sight
Cross-section · vertical scale exaggerated
Actual sightline Grazing line Building / parapet
Result at current setback
Minimum height needed to clear edge— ft
Position clears the edge by— ft
Grazing depression angle—°
Required height ÷ setback ratio—
Added height per ft of setback— in/ft

Ratio = grazing-line slope (V + parapet) / D. For each additional foot of setback from the edge, the muzzle/eye must rise by this amount to keep the tent in view over the edge.

Minimum height above roof vs. setback from edge

Each curve is a parapet height. A position plotting above its curve has a clear sightline to the tent; a position below it is blocked by the roof edge. The marker is your current inputs.

Reference table · minimum muzzle/eye height above roof (ft)
Assumptions & basis
Endpoints: n-wave source → tent (from KML). Horizontal, source→tent: 516 ft (haversine). Vertical drop (KML absolute alt): 71.6 ft. Straight-line optics; no atmospheric refraction. Occluding point = top of the roof edge / parapet. Terrain between edge and tent assumed non-occluding. D defaults to source→tent distance; if the edge sits closer to the tent, reduce D — required heights rise. Courtyard slope not modeled beyond the single tent point.

Formula: minimum height above roof h_min(s) = p + s·(V + p) / D, where p = parapet height, s = setback, V = vertical drop to tent, D = horizontal distance edge→tent. A position has a clear sightline when its height ≥ h_min. This is a geometric screening tool, not a certified survey.