Final answer:
The player's vertical jumping ability is 15 inches.
Step-by-step explanation:
To calculate the player's vertical jumping ability, subtract the initial standing reach from the jumping reach. In this case, the player's jumping reach is 19 inches, and the standing reach is 4 inches. So, the vertical jumping ability is 19 - 4 = 15 inches. The player can jump 15 inches vertically.