Understanding the Physics
* Range: The horizontal distance a projectile travels before hitting the ground.
* Launch Angle: The angle at which the projectile is launched relative to the horizontal.
* Symmetry: The range of a projectile is symmetrical for launch angles that are complementary (add up to 90 degrees).
The Solution
1. Complementary Angle: Since the initial launch angle is 75 degrees, the complementary angle is 90 - 75 = 15 degrees.
Therefore, launching the projectile at an angle of 15 degrees with the same initial speed will result in the same range.
Explanation
The reason this works is that the range of a projectile depends on both the initial velocity and the time of flight. While the initial vertical velocity is different for the two angles, the time it takes for the projectile to reach the ground is the same. This results in the same horizontal distance traveled.
