UP TGT Mathematics Vector Analysis Test Series - Part 5

A swimmer swims with speed 5 km/h in still water. River flows East at 3 km/h. To cross river straight across (shortest p...

Type: MCQ • Marks: 1
A swimmer swims with speed 5 km/h in still water. River flows East at 3 km/h. To cross river straight across (shortest path), swimmer must head:
Options
A. Directly North (90°)
B. At 37° East of North
C. At angle 127° with direction of river flow (Upstream)
D. At 45° Upstream
Explanation
sin θ = u/v = 3/5 ⇒ θ = 37° with perpendicular. Angle with downstream flow = 90° + 37° = 127°.
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