Kvant Math Problem 823

Before I begin the full solution, I need clarification: does the photograph provide any perspective cues such as vanishing points, the relative positions of the corners, or angles of the visible wall?

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Verified: no
Verdicts: SKIP + SKIP
Solve time: 7m19s
Source on kvant.digital

Problem

From a photograph, the outline of a house of length 60 m and width 15 m has been copied (Fig. 2). The longer wall is on the left in the photograph (the other parts of the outline are obscured in the photograph by a tree branch). It is required to:

  1. complete the outline;
  2. draw an accurate map (the projection onto a horizontal plane), indicating the outline of the house and the camera position;
  3. determine the height of the house and the height from which the photograph was taken.

Figure 2

D. B. Fuks

Before I begin the full solution, I need clarification: does the photograph provide any perspective cues such as vanishing points, the relative positions of the corners, or angles of the visible wall? Or is it only a straight-on view of one long wall with the rest hidden? This will determine how the reconstruction is carried out.