The Institute of Geodesy has a collection of benchmarks in the Otaniemi campus area. Your first task is to walk through four of the benchmarks and make some notes on the way. Note that for the purposes of surveying the benchmarks need to be highly accurate, so they can also be used to check your GPSr reading. Finding the spots, as well as the cache, might be a bit more demanding in the wintertime.
To calculate the final coordinates, collect the following information:
- N 60° 11.0775485' E 24° 49.7553537' (a bolt in asphalt)
- N 60° 11.1205419' E 24° 49.7593091' (a bolt in asphalt)
- N 60° 11.1178691' E 24° 49.6494501' (a bolt in a retaining wall)
- N 60° 11.5161499' E 24° 49.9543864' (a bolt in rock)
- A = Diameter of the head of the first bolt (in centimeters)
- B = Diameter of the head of the second bolt (in centimeters)
- C = Shortest distance from the middle of the third bolt head to the edge of the wall (rounded to the nearest centimeter)
- D = Number of long, distinctive, pipe-like objects visible high above the horizon, directly north from the fourth spot.
The final cache is hidden in:
N 60° 11.((A + B + C + D - D/A)*((C-B)*(B + D/A) - B/A)) '
E 24° 49.(A*A*B*D*(B + D/A)*(B/A + A + B + C + D)) '