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# 2007-1 - (Gm-07v Page 1 of 6 Norges...

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(Gm-07v) Page 1 of 6 Norges teknisk-naturvitenskapelige universitet Institutt for bygg, anlegg og transport Faggruppe Geomatikk EXAM: TBA4230 GEOMATIKK Contact information: Terje Skogseth mobile 952 88 301 (questions 1 and 3) Knut Ragnar Holm mobile 992 51 188 (question 2) Date: 13. December 2007 Time: 0900 – 1300 Credits: 7,5 Allowed aids: Code C: Specified printed and handwritten aids: Certain plain calculator (HP30S) ”Matematisk formelsamling”, Karl Rottmann ”Tabeller og formler i statistikk”, Institutt for matematiske fag, NTNU ”Matematisk statistikk (feilteori) og Estimering (MKM), elementmetoden”, Holsen og Skogseth Language: English The number of pages: 6 Sensurdato: Censoring meeting is planned in week 1 The 3 questions have the same weight. All the sub questions (x.1, x.2, …) within each question have the same weight. For the questions containing calculations, the progress of the calculations must be clearly shown in the answer. For actual formulas see also the appendix and the allowed aids. It is assumed that the student has the allowed aids.

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(Gm-07v) Page 2 of 6 Question 1: Coordinates and corrections In Steinkjer municipality (120 km north of Trondheim) the tourists go to see the geographical middle point of Norway (Nm). This point is ca 1-2 hours of walking from a road and not far from the Swedish border. The Norwegian mapping authorities has determined the coordinates of Nm. Coordinates in EUREF89, UTM zone 33 and geodetical, and heights in NN1954: Point N(orth) Latitude, B E(ast) Longitude, L Notes Height in NN1954, H ort Geoidal height, N Nm 7098745,000 63,99057220 ˚ 368304,000 12,30779754 ˚ UTM, zone 33 Geodetical, transformed from UTM values 450,000 35,753 NT35 = H22T0330 7101475,423 64,01187219 ˚ 360179,663 12,13945432 ˚ UTM, zone 33 Geodetical 288,405 35,854 S1 709482,000 368023,000 Preliminary values 445,000 Table 1.1 Figure 1.1 Control points ”Stamnett” point (1 point, NT35). Point in the First order network of Norway. Control points in the Second order network New points, Nm and S1 Nm S1
(Gm-07v) Page 3 of 6 1.1 The coordinates are in EUREF89, UTM zone 33. (a) Describe EUREF89. Describe UTM. (b) Show why the north axis in zone 33 in UTM is situated 15 ˚ east of Greenwich Draw a figure in UTM zone 33 showing the 2 points Nm and S1 and the north axis. (c) The borders of Steinkjer municipality is between the Trondheim fjord in west (ca 11,1 ˚ east of Greenwich) and to ca 12,4 ˚ east of Greenwich in east. Describe a practical problem which might arise by using EUREF89 (UTM) as a reference system in Steinkjer. How can the municipality solve the actual practical problem?

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2007-1 - (Gm-07v Page 1 of 6 Norges...

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