If a projectile is fired with angle of elevation α and initial speed v. then parametric equations for its trajectory are x = ( v cos α ) t       y  = ( v sin α ) t − 1 2 g t 2

(See Example 13.4.5.) We know that the range (horizontal distance traveled) is maximized when α =45^c. What value of α maximizes the total distance traveled by the projectile? (State your answer correct to the nearest degree.)