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ratio of visible distances of a boy on ground and on his father’s shoulders,=

Source: 2007 Sharygin Geometry Olympiad Correspondence Round P11

April 26, 2019
ratiogeometrydistance

Problem Statement

A boy and his father are standing on a seashore. If the boy stands on his tiptoes, his eyes are at a height of 11 m above sea-level, and if he seats on father’s shoulders, they are at a height of 22 m. What is the ratio of distances visible for him in two eases? (Find the answer to 0,10,1, assuming that the radius of Earth equals 60006000 km.)