10. Joel is \( 2 \frac{1}{2} \) inches shorter than Carlos. Carlos is \( 1 \frac{1}{4} \) inches taller than Dan. If Dan is \( 58 \frac{1}{4} \) inches tall, how many inches tall is Joel?

To find how tall Joel is, we first need to determine Carlos's height. Since Carlos is \( 1 \frac{1}{4} \) inches taller than Dan, we add that to Dan's height: Dan's height: \( 58 \frac{1}{4} \) inches Carlos's height: \( 58 \frac{1}{4} + 1 \frac{1}{4} = 59 \frac{1}{2} \) inches. Now that we know Carlos's height, we can find Joel's height. Since Joel is \( 2 \frac{1}{2} \) inches shorter than Carlos, we subtract that from Carlos's height: Carlos's height: \( 59 \frac{1}{2} \) inches Joel's height: \( 59 \frac{1}{2} - 2 \frac{1}{2} = 57 \) inches. So, Joel is \( 57 \) inches tall.