Range against the angle of projection

Which launch angle throws a ball farthest? You will make the program find the range at every angle from $0^\circ$ to $90^\circ$, find the best one, and check it against the formula for the greatest range.

The idea. On level ground,

Your tasks.

1. Find the range at every angle in the list.
2. Find the angle with the greatest range, and that greatest range.
3. Work out $\dfrac{u^2}{g}$, the greatest range the formula predicts.