Final answer:
Miguel needs to jump 13.42 ft.
Step-by-step explanation:
To determine the distance Miguel needs to jump in order to tie the current first-place score, we need to subtract the distances jumped by Miguel's teammates from the current winning team's score.
Adding the distances of Miguel's teammates: 12.29 ft + 12.72 ft + 13.75 ft = 38.76 ft
Subtracting the total distance jumped by Miguel's teammates from the current winning team's score: 52.18 ft - 38.76 ft = 13.42 ft
Therefore, Miguel needs to jump 13.42 ft in order to tie the current first-place score.