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How high is that? (Otago) Mystery Cache

Hidden : 5/26/2020
Difficulty:
4 out of 5
Terrain:
3 out of 5

Size: Size:   large (large)

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Geocache Description:


Back when I was surveying and before total stations were reflectorless, we had to set up our instrument in 2 known locations to observe a point that was inaccessible to determine it's position and height.

See the diagram below and work out the distance from Station A to Point C (x), the distance from Station B to Point C (y) and the height of point C (z).

Once calculated, round your answers to the nearest 0.01m, to eliminate any rounding errors during your calculations.

The ground level at A is 26.184 with an instument height of 1.635

The ground level at B is 27.858 with an instrument height of 1.722

For your answers you can replace the numbers with the following corresponding letters:

x = def.gh

y = jkm.np

z = qr.st

(Note: The same number can be represented by different letters)

Checksum = d + e + f + g + h + j + k + m + n + p + q + r + s + t = 54

The cache can be found at

S 45°51.(q-t)(m-h)(p+d)'

E 170°28.(r-k)(e-f)(s-g)'

 

 


Geo Toroa - New Zealand's next multi day event. To be held on the 26-27th October 2024 in Dunedin. If you want to come along, visit GCA7ZHD to log your "Will Attend"

 


Additional Hints (Decrypt)

Trbpurpxre

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)