TOT 367 1993 Spring A J6 boat can move along a river
Source:
June 10, 2024
geometryalgebra
Problem Statement
The width of a long winding river is not greater than km. This means by definition that from any point of each bank of the river one can reach the other bank swimming km or less. Is it true that a boat can move along the river so that its distances from both banks are never greater than
(a) km?
(b) km? (Grigory Kondakov, Moscow)You may assume that the banks consist of segments and arcs of circles.