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National and Regional Contests
Vietnam Contests
Vietnam National Olympiad
1967 Vietnam National Olympiad
2
2
Part of
1967 Vietnam National Olympiad
Problems
(1)
VietNam MO 1966-Pr.2
Source:
2/18/2007
A river flows at speed u. A boat has speed v relative to the water. If its velocity is at an angle
α
\alpha
α
relative the direction of the river, what is its speed relative to the river bank? What
α
\alpha
α
minimises the time taken to cross the river?
trigonometry