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An aircraft departs from position A (04o10S 178o22W) and flies northward following the meridian for 2950 NM. It then flies westward along the parallel of latitude for 382 NM to position B. The co-ordinates of position B are? Is there any formula to solve this question?

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  1. Wes Beard on Oct 07, 2015

    There is the Haversine formula. It will take two steps. I am unfamiliar how to use these formulas.

    φ2 = asin( sin φ1 ⋅ cos δ + cos φ1 ⋅ sin δ ⋅ cos θ )
    λ2 = λ1 + atan2( sin θ ⋅ sin δ ⋅ cos φ1, cos δ − sin φ1 ⋅ sin φ2 )
    where φ is latitude, λ is longitude, θ is the bearing (clockwise from north), δ is the angular distance d/R; d being the distance travelled, R the earth’s radius

    See this website: http://www.movable-type.co.uk/scripts/latlong.html

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