Question
Using proportions, if a basketball player is 6'3" tall and his infant son is 1/14th his height, how tall is the son?
Answers
GPT-4o mini
To find the height of the son, we first convert the father's height from feet and inches to inches. A height of 6 feet 3 inches can be calculated as follows:
- 6 feet = 6 × 12 inches = 72 inches
- Adding the additional 3 inches gives us:
\[
72 + 3 = 75 \text{ inches}
\]
Now, to find the height of the son, who is \( \frac{1}{14} \) of the father's height, we calculate:
\[
\text{Height of son} = \frac{1}{14} \times 75 \text{ inches}
\]
Calculating that:
\[
\frac{75}{14} = 5.357142857 \text{ inches}
\]
To keep it more straightforward, we can round this to two decimal places:
\[
5.36 \text{ inches}
\]
Therefore, the height of the son is approximately **5.36 inches**.
- 6 feet = 6 × 12 inches = 72 inches
- Adding the additional 3 inches gives us:
\[
72 + 3 = 75 \text{ inches}
\]
Now, to find the height of the son, who is \( \frac{1}{14} \) of the father's height, we calculate:
\[
\text{Height of son} = \frac{1}{14} \times 75 \text{ inches}
\]
Calculating that:
\[
\frac{75}{14} = 5.357142857 \text{ inches}
\]
To keep it more straightforward, we can round this to two decimal places:
\[
5.36 \text{ inches}
\]
Therefore, the height of the son is approximately **5.36 inches**.