Recall that the body thrown at some speed v travels the longest distance when thrown at the α=45 degrees angle, but shorter distance if the angle is less than 45 degrees (low trajectory) or larger than 45 degrees (high trajectory). The flight time is less over the lower trajectory. The time of flight is t=2vcosα/g and the distance of flight l is

l = v^{2}sin2α/g.

Since sin2α = sin(180° - 2α) the flight distance is the same for α=52° and β=(90°- α)=38° angles. Hence, the snowball should be thrown at 38° angle.