A motor boat is moving towards north at 25km/hr and rate of flow of water is 10km/hr along a direction of 60degree is east of south.Find the resultant velocity of the boat and also the direction in which it is moving?

Answer 1

Vb=25km/hr @ 90 deg. = Velocity of boat
Vw = 10km/hr @ 330 deg. = Velocity of
water.

X = hor. = 10cos330 = 8.66km/hr.

Y = ver. = 25 + 10sin330 = 20km/hr.

tanA = Y / X = 20 / 8.66 = 2.3094.
A = 66.6 deg.

R=X / cosA = 8.66 / cos66.6=21.8km/hr
@ 66.6 deg.=21.8km/hr @ 66.6 deg North
of East.

Answer 2

velocity of boats is 25m/s to north and velocity of water is 10m/s is 60 degree of east means the angles bw velocity of water and velocity of boats is 120 degree and by using triangle law of vector add. ans is 5 root 19