Question

In a Harbour, wind is blowing at a speed of 72 km/hb and the flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If a boat start moving at the speed of 51 km/h to the north, what is the direction of the flag on mast of a boat?​

Answer 1

Answer:

Explanation:

The flag is fluttering in the north-east direction. It shows that the wind is blowing toward the north-east direction. When the ship begins sailing toward the north, the flag will move along the direction of the relative velocity (v  

wb

​

) of the wind with respect to the boat.

The angle between v  

w

​

 and v  

b

​

  =90+45

  tanθ=  

(72+51cos(90+45)

51sin(90+45)

​

 

Substituting and solving we get,

tanθ=  

50.80

51

​

=1.0038

θ=tan  

−1

(1.0038)=45.11  

0

 

Angle with respect to the east direction = 45.11−45=0.11

Hence, the flag will flutter almost due east.