When the projectile in Exercise 55 is launched at an angle with the horizontal, its parametric equations are Use a graphing utility to find

When the projectile in Exercise 55 is launched at an angle θ with the horizontal, its parametric equations are  

Use a graphing utility to find the angle that maximizes the range of the projectile. What angle maximizes the arc length of the trajectory?

Data from in Exercise 55

The path of a projectile is modeled by the parametric equations

where x and y are measured in feet.

x = (90 cos 0)t and y = (90 sin 0)t - 16t.