Question

A man can swim in still water at a speed of 3km/h.He wants to cross a river that flows at 2km/h and reach the point opposite to his starting point. In which direction should he try to swim(angle)​

Answer 1

$\large{\bf{\gray{\underline{\underline{\orange{Given:}}}}}}$

Speed of man in still water = 3km/h

Speed of watet flow = 2km/h

$\large{\bf{\gray{\underline{\underline{\green{To\:Find:}}}}}}$

We have to find direction in which swimmer should try to swim.

$\large{\bf{\gray{\underline{\underline{\pink{Solution:}}}}}}$

፨ First of all, see the attachment for better understanding. :)

Here,

Speed of swimmer in still water,

• Vs = 10m/s

Speed of water flowing in river,

• Vr = 5m/s

From figure,

⇒ sinΦ = Vr/Vs

⇒ sinΦ = 2/3

⇒ Φ = sinˉ¹ (2/3) [West of North]