To estimate the total length of the wooden boards Nathan needs, we can round each of the board lengths to the nearest whole number:
- The first board is 16.45 feet, which rounds to 16 feet.
- The second board is 7.3 feet, which rounds to 7 feet.
- The third board is 12.8 feet, which rounds to 13 feet.
Now, we can add these rounded lengths together:
\[ 16 + 7 + 13 = 36 \text{ feet} \]
Thus, the closest estimate of the total length of wood Nathan needs is 36 feet.