The owner of an industrial complex is in dispute with the local authority over the siting of a sewerage treatment tank on his land.
Regulations state that "no part of the structure is permitted within 50m of a public road".
The owner believes that the tank is located correctly and refuses access to the property.

A surveyor acting for the authority has set out baseline A-B on the centreline of the 70m major road and observed the edges of the tank, where possible, through gaps in the dense hedge surrounding the site as shown in the diagram.

Does the tank comply with the regulations?

Easy enough in CAD but can you produce a mathematical solution for the court?

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Replies

  • Student Surveyor

    Hi Barry, 

    I would like to check if the 50m from public road starts from road edge or centre line and the 3 points are just random points of the tower right? 

    • The tank must a minimum of 50m from the road boundary (shown in blue on the diagram.

      The three points are tangent to the edge of the tank as shown.

      They are not "random" they are the visible edges of the tank at tangent points as viewed from points A and B.

  • Land Surveyor

    Great problem! 

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