First, let's determine the total number of levels involved in the change in elevation. The problem states there is one level below ground and we need to go to the ceiling of the fourth level above ground. So, we have:
- 1 level below ground
- 4 levels above ground
In total, we cover [tex]\(1 + 4 = 5\)[/tex] levels.
Next, the height of each level is [tex]\[ 14 \frac{1}{2} \text{ feet} \][/tex]
To find the total height change, we need to multiply the number of levels by the height of each level.
The calculation is:
[tex]\[
5 \text{ levels} \times 14.5 \text{ feet per level} = 72.5 \text{ feet}
\][/tex]
Therefore, the correct answer is:
[tex]\[
\text{B. } 72 \frac{1}{2} \text{ feet}
\][/tex]