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Calcular analíticamente el rumbo loxodrómico y distancia recorrida entre el punto A coordenadas l: 38º 10´N L: 000º 27´W y el punto B de coordenadas l:38º 51´N L:001º 11`E (las posiciones están fuera de carta)Between point A (38º 10' N, 000º 27' W) and point B (38º 51' N, 001º 11' E), compute analytically the rhumb-line course and distance:
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Correct answer: c) Course: 062º, Distance: 87.3 nautical miles
Why it is correct
ΔLat = 38º 51′ N − 38º 10′ N = +41.0′ N. Crossing from W to E longitude, ΔLong = 27′ + 71′ = 98.0′ E. With mean latitude 38º 30.5′ N, departure is A = 98.0 × cos 38.5º = 76.7′ E; tan R = 76.7 / 41.0 ⇒ R ≈ 062º and d = √(41.0² + 76.7²) ≈ 87.0–87.3 miles.
Why the others are not
- a) Subtracts the longitudes instead of adding them when crossing from W to E.
- b) Subtracts the longitudes instead of adding them when crossing from W to E.
- d) Subtracts the longitudes instead of adding them when crossing from W to E.
How to work it out in the exam
- Find ΔLat = +41′ N and add the longitudes across Greenwich: ΔLong = 27′ + 71′ = 98′ E.
- Compute departure A = 98′ · cos 38.5º = 76.7′ E, tan R = A / ΔLat (R = 062º) and d = √(ΔLat² + A²) ≈ 87 miles.
Where this question comes from
- Región de Murcia · 2025 · 3ª convocatoria · PY Tipo 1 · question 38 Official paper · Official answer key
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