Final answer:
The golf ball will land approximately 96.3 meters away from where it was initially hit.
Step-by-step explanation:
To calculate the horizontal distance (range) at which the golf ball will land, we can use the following equation:
Range = (initial velocity * sine(2 * angle)) / gravity
Given that the velocity is 45.6 m/s and the angle is 48 degrees, we can plug in these values to calculate the range:
Range = (45.6 * sine(2 * 48)) / 9.8 = 96.3 meters
Therefore, the golf ball will land approximately 96.3 meters away from where it was initially hit.