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Mystery of The Arcsecond Mystery Cache

Hidden : 9/7/2013
Difficulty:
3.5 out of 5
Terrain:
2.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

This cache is designed so you might learn a thing or two about why we write positions as degrees minutes and second, however in geocaching we use degrees decimal minute.


Minutes of angle (and its subunit, seconds of angle or SOA—equal to a sixtieth of a MOA) are also used in cartography and navigation. At sea level one minute of angle along the equator or a meridian equals approximately one nautical mile (1.86 km or 1.16 mi). A second of angle, one sixtieth of this amount, is about 30 meters or roughly 100 feet. The exact distance varies along meridians because the shape of the Earth is slightly oblate.

Positions are traditionally given using degrees, minutes, and seconds of angles for latitude, the angle north or south of the equator, and for longitude, the angle east or west of the Prime Meridian. Any position on or above the Earth's reference ellipsoid can be precisely given with this method. However, because of the somewhat clumsy base-60 nature of minutes and seconds, positions are frequently expressed in fractional degrees only, expressed in decimal form to an equal amount of precision. Degrees given to three decimal places (11,000 of a degree) have about 14 the precision of degrees-minutes-seconds (13,600 of a degree) and specify locations within about 120 meters or 400 feet.

The task:

To find the North calculate:
How many mm is 1 arc seconds along the perimeter of a circle whit a diameter of   380,132484076433 Km this gives you A

To find the East calculate:
How many mm is 1 arc seconds along the perimeter of a circle whit a diameter of   321,110828025478 Km this gives you B
 

Assuming you are using Pi = 3.14 you can fill in your answers here:
N58 07.A E7 03.B

Happy hunting


Additional Hints (Decrypt)

2,5z hc

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)