This morning we woke up in the marina in Langkawi and it was still dark. Dawn was slowly lighting up the Eastern sky. A quick check on the watch: it was already past 7 a.m., and still dark? Clearly things have changed from the usual schedule we had in Singapore (almost on the equator with 12 hour days year long). Time for an early morning school lesson.
A quick check on Google shows that the day in Langkawi is 15 minutes shorter:

We have traveled about 500 nautical miles up the Malaysian coast. So how far North have we traveled? And what is that in relation to the distance from the equator to the North Pole?
We kind of remembered, but validated the Earth’s circumference, and then had a side debate on how you calculate circumference from diameter or radius, and how the moon compares to the Earth (about 1/4 the circumference of Earth)

So if the circumference is 40k, then the distance from equator to North Pole is 10k. How much of that did we cover?
We assume the angle of the Malaysian West coast at 50 degrees off North (this should probably be closer to 30 or 35 degrees, but let’s go with 50 for now).
If we draw a right angle triangle we have the hypotenuse at 500 nautical miles, and the angle at 50 degrees, and want to calculate the length of the adjacent. Thank you to the MathIsFun website, we can look up the formula cos(°)=adjacent/hypotenuse, and then calculate:

We have traveled approx 595km due North, so about 1/17th of the distance to the North Pole. Causing the “winter” days to be 15 minutes longer. Isn’t Math fun?










