A jet of water (density of ) from a nozzle travels in the direction, initially along the surface of a vane. A short distance later, the vane curves downward and the jet is deflected through an angle of . The jet initially has a mean velocity of and it leaves the vane with a mean velocity of . If the discharge rate from the nozzle is , calculate the direction of the resultant force on the vane (if the vane is stationary). (Measure the angle counter-clockwise from the x-axis.)