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Question:
a man rows a boat with a speed of 18 km/hr in north west direction . the shoreline makes an angle 15 degree south of west . how to obtain the components of velocity of the boat along the shoreline and perpendicular to it
Answer:

As given in the problem,

The speed of boat =18 km/hr in north-west direction,i.e the velocity makes an angle of 45 with west.

fig

We have to find the velocity along shoreline or parallel to river.

We can see in figure that the velocity V makes an angle (45+15) =60o with the river.

So, Vcosθ = V cos60

= 18×1/2 

=9 km/hr

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