To find the height of the basketball player's son, we need to calculate \( \frac{1}{14} \) of the player's height, which is 623 feet.
The calculation is as follows:
\[ \text{Height of the son} = \frac{1}{14} \times 623 \text{ ft} \]
Calculating \( 623 \div 14 \):
\[ 623 \div 14 \approx 44.5 \]
This means the son's height is approximately 44.5 feet. In fractional form, 0.5 can be expressed as \( \frac{1}{2} \).
So, \( 44.5 \) ft can be written as:
\[ 44 \frac{1}{2} \text{ ft} \quad \text{(which is equal to 44 feet and 6 inches)} \]
None of the options provided match this height directly, but interpreting 44.5 ft properly relates to understanding how we format the final answer.
However, it seems like the options listed may have intended a simpler calculation. Given that none of the responses exactly align, we can look at a reasonable answer based on those options where height less than 123ft could be considered as valid if discussing a comparison aspect.
None of the responses provided (2212 ft., 112 ft., 123 ft., 223 ft.) or as fractions really align correctly, which suggests a miscommunication or misunderstanding might have occurred.
Please double-check the dimensions given or the intended question as the math to reach conclusion effectively would hint at a height just around 44.5 ft, not matching the formatted response based typically expected in fractions or conversions noticed in options.