Where does a very long sea trip end?
Where does a very long sea trip end?
The trip starts in a river mouth, near Damb, Las Bela, Balochistan, Pakistan at latitude 25.415771N and longitude 66.542013E. The trip precedes SSW on a azimuth from north of 211.4419 degrees. The length of the trip is 31967600 meters. The trip ends just offshore where?
A map is not provided as it would disclose the answer.
The problem was put in geometry as it truly is a matter of measuring the Earth.
The problem's answer was computed using a geodesic method. Please, see the next paragraph.
The difference between where the trip ends depends on whether a geodesic or a great circle is used and is about 1360 meters (less than a US mile). This is insignificant in answering the question.
The entire trip does not touch land and is in a straight line.
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Using a navigation calculator on the web : 59 58.0876N, 165 10.0794E, which is off the Kamchatka Peninsula, giving the answer. As the problem itself states a spherical trigonometry solution would have been sufficient. The problem also states that the trip is possible by sea surface.
See Spherical trigonometry or the American Practical Navigator.