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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)

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás. Készítsünk ábrát.

Pitagorasz-tétellel: , amibõl . 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

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