The diagram shows a river which is 120m wide and is flowing at 4 ms⁻¹. Points A and B are on opposite sides of the river such that B is 50m downstream from A. A man needs to cross the river from A to B in a boat which can travel at 5 ms⁻¹ in still water.

1. (i)Show that the man must point his boat upstream at an angle of approximately 65° to the bank.[4]
2. (ii)Find the time the man takes to cross the river from A to B.[6]

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