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a boat heading due north crosses a wide river with speed of 12km/h relative to the water the water in the river has a uniform speed of 5 km/h due east relative to the earth.determine the velocity of the boat relative to an observer standing on either bank and the direction of boat

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    Do vector addition of the two velocities to obtain boat's velocity V w.r.t.river bank:

    V = sqrt(12^2+5^2) = 13 Km/hr
    and
    tan theta = 5/12; (theta - angle between V and north)

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