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.)
Deadline expired on 15 April 2009.
Google Translation (Sorry, the solution is published in Hungarian only.)
Megoldás. Készítsünk ábrát.
Pitagorasz-tétellel: , amiből . Ha h kicsi és R=6370 km, akkor km.
Statistics on problem C. 981. 171 students sent a solution.
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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.