A motor boat is moving towards north at 25km/hr and rate of flow of water is 10kn/hr along a direction of 60 degree is east of south find the resultant velocity of the boat and also the direction in which it is moving
Draw the vector diagram.
Draw the N vector. THen, from the top of the N vector, sketch the flow of water vector. Now, the resultant is from the bottom of the N vector to the tip of the water vector.
Using the law of cosines:
R^2=B^2 + W^2 -2BWcos60
and the direction, from the law of sines,
10^2=25^2+R^2-2*25*R cosTheta
where theta is the angle of R from N.
If you do not know the law of cosines, then use a graphic addition.