Calculations like this are why NBA players take so long to shoot free throws

An NBA basketball player want to score 3 points, so he shoots the ball right before the 3-point-line (which is $$d=6.25~\mbox{m}$$ horizontally away from the basket). The difference in height from where he releases the ball and the basket is roughly $$h=1~\mbox{m}$$. Given the gravitational acceleration $$a_g=-9.8~\mbox{m/s}^2$$, at what angle to the horizontal in degrees did he shoot the ball if the horizontal speed of the ball is $$8.71~\mbox{m/s}$$?

Details and assumptions

• You may neglect air resistance.
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