1. MOUNTAIN PEAKS
REPORTER:LAZARE OSMANOV
TEAM:GEORGIA

2. PROBLEM
What methods are used to determine the elevation of the World’s highest mountains? Suggest your own experimental method and determine the height of a mountain or a hill of your choice

3. PLAN Some Different Methods Radiological Method GPS
Pressure Measuring Method
Two Geometrical Methods
Theoretical Model
Mathematical
physical
Experiments
Relative Errors
Comparison
Conclusion

4. RADIOLOGICAL METHOD GPS

5. THEORETICAL MODEL z Z
IYNT

6. IDEAL GAS EQUATION PV=nRT n_ Amount of Moles V_Volume of Air
n_ Amount of Moles
V_Volume of Air
T_ Air Temperature
q_ Air Density
R_ Gas Constant
IYNT

7. z+dz dz z
IYNT

8. MORE DETAILS
f_HUMIDITY
IYNT

9. MEASEURED QUANTITIES Z P(m) T f 1993 81kpa 278K 41% 2150 79kpa 273K
28%
2687
75,4kpa
272K
27,5%
2724
74,8kpa
59,5%
2848
73,5kpa
265K
46,5%
3006
72,4kpa
263K
33,5%
IYNT

10. COMPARISON Measured Height Theoretical Height 2569 2661
2140
2104
Measured Height
Theoretical Height
1712
1798
IYNT

11. TRIANGULATION METHOD D H A B C
IYNT

12. Experimental Setup

13. RELLATIVE ERROR Distance Tan a Tan b Real High Theoretical Result
0.579
0.228
0.77
2.04
2.1
IYNT

14. COMPARISON Measured height Theoretical height 23.8m 22.93m

15. CAMERA METHOD k1-amount of pixels on the first photo
K2-amount of pixels on second photo
K-total pixels
AD-distance of points

16. RELLATIVE ERROR A.O.P.I.T.F.P T.P Tan a R.H T.H 3096 2072 3857 0.892
4.45m
4.5m

17. COMPARISON Measured height Theoretical height 158.4m 157m

18. EXPERIMENTS

19. EXPERIMENTS

20. REFERENSES https://en.wikipedia.org/wiki/Triangulation

21. CONCLUSION Theoretical models are written Pressure measuring method
Two geometrical methods
Experiments Have Been Performed
I compared measured and theoretical results
Relative Errors are written
I’ve done a significant part of problem

22. THANKS
FOR
ATTENTION