C. 981. The captain of a ship wrote down the formula in his log book for the distance to the horizon. Unfortunately, the number p got blurred. d denotes the distance to the horizon in kilometers, and h stands for the height of the eyes of the observer above sea level in metres. Determine a value of p that provides a practicable formula. (Use 6370 km for the radius of the Earth.)
(5 points)
Deadline expired.
Google Translation (Sorry, the solution is published in Hungarian only.)
Megoldás. Készítsünk ábrát.
Pitagorasztétellel: , amiből . Ha h kicsi és R=6370 km, akkor km.
Statistics on problem C. 981.  171 students sent a solution.  
5 points:  79 students. 
4 points:  18 students. 
3 points:  55 students. 
2 points:  11 students. 
1 point:  1 student. 
0 point:  2 students. 
Unfair, not evaluated:  5 solutions. 


Problems in Mathematics of KöMaL, March 2009
