What reading would a builder's level show at a batter board height of 2 ft 8 in, when the leveling rod measures 6 ft 4 in at the benchmark?

To determine the reading on a builder's level at a specified batter board height relative to a benchmark, we start by converting all measurements to the same unit for easier calculation.

In this case, the heights are as follows:

• The batter board height is 2 feet and 8 inches. To convert this, we have 2 feet (which equals 24 inches) plus 8 inches, giving us a total of 32 inches.

• The leveling rod reading at the benchmark measures 6 feet and 4 inches, which converts to 6 feet (72 inches) plus 4 inches, equaling a total of 76 inches.

Next, to find the builder's level reading, we subtract the batter board height from the leveling rod measurement. This calculation is performed as follows:

Leveling Rod Height - Batter Board Height = Builder's Level Reading

76 inches (leveling rod) - 32 inches (batter board) = 44 inches.

Finally, converting 44 inches back into feet and inches gives us 3 feet and 8 inches, as there are 12 inches in a foot (44 inches divided by 12 equals 3 feet with a remainder of 8 inches).

Therefore, the correct reading on the