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Given that the difference in longitude between 2 points is 18° and the latitude 50°N, what is the convergency?

  • A

    sin (50°) x 18°

  • B

    cos (50°) x 18°

  • C

    cos (18°) x 50°

  • D

    sin (18°) x 50°

Convergency is defined as the angle of inclination between two selected meridians measured at a given latitude.

At the Equator, where the latitude is 0°, (convergency/ch long) is zero. At the Poles, where the latitude is 90°, (convergency/ch long) is one.

Therefore the relationship between convergency and latitude is a function of the sine of the latitude.
This gives us the formula:

  • Convergency = Change in Longitude x Sine Latitude
Therefore, in this case, we have:
  • Convergency = 18º x Sine (50º)

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