miércoles, 9 de mayo de 2007

¿Cuál es la distancia al horizonte?

Imagina que estás en la playa de pie mirando el horizonte: ¿a qué distancia se encuentra? Antes de seguir haz una estimación: ¿5 Km?, ¿50?, ¿500?...


El horizonte es la línea a partir de la cual no podemos ver más allá a causa de la curvatura de la Tierra. Entonces la línea visual que une nuestros ojos con el horizonte es una línea recta tangente a la Tierra, y por tanto perpendicular al radio de esta en el horizonte.

Los datos necesarios son el radio de la Tierra(r=6378 Km. aproximadamente en el ecuador), y la altura a la que se encuentran los ojos del observador ("a" en el esquema, claramente exagerado). Aplicando el teorema de Pitágoras calculamos la distancia al horizonte (h):
Si suponemos que nuestros ojos se elevan a=1,70 metros del suelo (0,0017 Km.) y aplicamos la fórmula el horizonte estará a 4,66 Km. Dependiendo de nuestra altura, este valor puede oscilar entre 4 Km(para los más pequeños de la casa) y 5 (para los jugadores de baloncesto).

Y yo me pregunto... ¿a qué distancia está 'vuestro horizonte'?

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