How do you determine your distance by parallel sailing when going from 42 38 0 north 162 51 east to 42 38 0 North 176 19 West
This is a great circle route and the distance can be calculated using the formula:
Distance = 60 * Arccos( Sin(Latitude1) * Sin(Latitude2) + Cos(Latitude1) * Cos(Latitude2) * Cos(Difference in Longitude) )
Where:
- Latitude1 is the latitude of the starting point
- Latitude2 is the latitude of the ending point
- Difference in Longitude is the difference in longitude between the starting point and the ending point
In this case, the latitudes are the same, so the formula simplifies to:
Distance = 60 * Arccos(Cos(Latitude1) * Cos(Difference in Longitude))
Plugging in the values, we get:
Distance = 60 * Arccos(Cos(42.633333) * Cos(13.441667))
Distance = 1743.5 nautical miles
Related Questions:
- What is the formula for calculating the distance between two points on a great circle route?
- Distance = 60 * Arccos( Sin(Latitude1) * Sin(Latitude2) + Cos(Latitude1) * Cos(Latitude2) * Cos(Difference in Longitude) )
- What is the latitude of the starting point?
- 42 38 0 North
- What is the longitude of the ending point?
- 176 19 West
- What is the difference in longitude between the starting point and the ending point?
- 13.441667 degrees
- What is the distance between the two points?
- 1743.5 nautical miles
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