A Hypothetical Method of Attempting to Break the Current Sailing Record Around the World using Spherical Trigonometry (PDF)

Document from the year 2013 in the subject Mathematics - Geometry, grade: 3.00, , language: English, abstract: Ever since the creation of math, mathematicians have attempted to extend, or challenge the work of another mathematician with the intent to try and disprove their discoveries. The applications of math we now use to solve the problems of life, are due to discoveries of these great minds. Mathematics is no longer a system to count objects, as this examination will attempt to: Propose a Hypothetical Method of Attempting to Break the Current Sailing Record Around the World using Spherical Trigonometry.

The scope in which this examination will take into account is that of spherical trigonometry at its sole. Situations will be adjusted to make spherical trigonometry the tool to attempt to challenge the current record of sailing around the world. It will not include the vector components entirely. Needless to say, the majority of the trigonometry used in this examination will be explained just enough to be understandable for the common math enthusiast. The record breaking component, is only a form in which this sub-branch of spherical geometry can be applied in the real world.

The result of this examination ended with a success. The method taken resulted in breaking the current record held by Loïck Peyron within an astonishing 45 days 13 hours 42 minutes and 53 seconds. But from this examination it was derived that, with respect to the given points, that you could go around the world in 20 days 17 hours 5 minutes and 17 seconds when going at a speed of 40 knots. However, this result was attained by not taking into consideration certain external factors that Loïck Peyron may have encountered when he broke the record. Therefore, if the condition were just right, and a constant speed of 40 knots was kept consistent throughout, the results from this examination would be valid.