Machine-translated by Google. Questions are authored in English.
Top

Discussion

In any map graphical scale as well as RF (representative factor) should be shown, since paper may shrink and actual length may be more than what is shown. In such case:

  • A.Shrinkage factor = Measured length on the field / Calculated length
  • B.Shrinkage factor = Measured length of field × Calculated length
  • C.Shrinkage factor = Calculated length / Measured length on the field
  • D.Shrinkage factor = 1 / ((Measured length on the field) × (Calculated length))

Answer: C

The key gives Shrinkage factor = Calculated length / Measured length on the field.

When a map shrinks, a distance scaled off it with the original scale (the calculated length) comes out shorter than the true ground distance. The shrinkage factor is the ratio of the shrunk value to the true one, so it is less than 1: the calculated length divided by the length actually measured on the field. Dividing a calculated length by this factor recovers the true length, which is why the graphical scale, which shrinks with the paper, is printed alongside the RF.

The inverted ratio would exceed 1, and a product of the two lengths, or its reciprocal, has the dimensions of area and cannot be a dimensionless factor.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.