The angle that maximizes the throwing distance depends on the initial velocity of the object being thrown and the gravitational force acting on it.

Assuming that air resistance is negligible, the optimal angle for maximum throwing distance can be determined using the following formula:

```
θ = arctan(v^2/gd)
```

where θ is the optimal throwing angle, v is the initial velocity of the object, g is the acceleration due to gravity, and d is the horizontal distance that the object needs to travel.

In this formula, the optimal angle θ is equal to the arctangent of the ratio of the square of the initial velocity to the product of the acceleration due to gravity and the horizontal distance that needs to be covered.

Note that this formula assumes that air resistance is negligible, which is not always the case in real-world scenarios. In practice, factors such as air resistance, wind, and the shape and size of the object being thrown can also affect the optimal throwing angle.
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