01: You are on a windswept plain on the planet Earth but you know neither your position nor the date. There are no...
01: You are on a windswept plain on the planet Earth but you know neither your position nor the date. There are no hills and you can see the horizon clearly. This allows you to time Laiss LipS the sunset accurately, but, unfortunately, your watch reads Greenwich Time. Take a straight pole and plant it exactly vertically in the ground. You have no meter- or yardstick but you assign arbitrarily 1 unit to the length of the pole above ground. Observe the shadow throughout the day: at its shortest (at 08:57 on your watch) the shadow is 2.50 units long. Sun sets at 13:53. From these data alone, determine the date, latitude, and longitude unambiguously (i.e., decide if you are in the Northern or the Southern hemisphere). Solution:
01: You are on a windswept plain on the planet Earth but you know neither your position nor the date. There are no hills and you can see the horizon clearly. This allows you to time Laiss LipS the sunset accurately, but, unfortunately, your watch reads Greenwich Time. Take a straight pole and plant it exactly vertically in the ground. You have no meter- or yardstick but you assign arbitrarily 1 unit to the length of the pole above ground. Observe the shadow throughout the day: at its shortest (at 08:57 on your watch) the shadow is 2.50 units long. Sun sets at 13:53. From these data alone, determine the date, latitude, and longitude unambiguously (i.e., decide if you are in the Northern or the Southern hemisphere). Solution: