Daylight hours are dependent on sunrise and sunset times for each day which are dependent on seasonal change. The number of daylight hours can be represented by a periodic function. This periodic function can help Alaskan Council predict daylight hours for tourist travelling to watch their Bore Tide. A Bore Tide is a tidal phenomenon in which the leading edge of the incoming tide forms a wave (or waves) of water that travels up a river or narrow bay against the direction of the river or bay's current. Anchorage, Alaska is known for its famous Bore Tides. These bore tides occur at least once a day during high and low tide. Yet, health warnings are applied to viewing bore tides during low tide. Tourists have died by getting stuck in glacial silts by drowning due to incoming bore tides. Glacial silts are created when glaciers scrape bedrock into fine, round particles of rock or clay which are then carried away by tides or rivers. This substance becomes incredibly sticky therefore trapping tourists whom walk in them. The significance of tides is that they can be represented by a sinusoidal periodic function. The function will then help predict when low time is coming and help council roster park ranger to those times to prevent tourist wondering onto glacial silts therefore avoiding fatal accident.
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Question 1
Sunrise and sunset hours for locations around the world are all dependable on various variables such as geographical location of the location and seasonal change. With these factors in mind the daylight hours can be modelled using a sinusoidal periodic function.
Question 1a:
The information used to generate the model for Anchorage, Alaska was gathered from www.timeanddate.com. (Refer to Appendix 1 for a sample of raw data). Information from the year 2011 was gathered and the day light hours of each day was converted into minutes and the dates were converted into the number of day within the year it is. (Refer to Appendix 2 for