A boat moves relative to water with a velocity half of the river flow velocity. If the angle from the direction of flow at which the boat must move relative to stream direction to minimize drift is 
, then find n.
Text Solution
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(3)
Sol.
time to cross river t = 
Drift x = (2u – u sin θ )t = (2u – u sin θ ) 
Drift x = (2 sec θ – tan θ )d
= (2 sec θ tan θ – sec 2 θ )d = 0 ⇒ 2 tan θ = sec θ
θ = 30º with the river flow current
angle with stream 30º + 90º = 120º .
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