To find the length of the base of the triangle, we can use the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given that the area is 7.5 square feet and the height is 2.5 feet, we can plug these values into the formula:
\[ 7.5 = \frac{1}{2} \times \text{base} \times 2.5 \]
First, we can simplify the equation. Multiply both sides by 2 to eliminate the fraction:
\[ 15 = \text{base} \times 2.5 \]
Now, divide both sides by 2.5 to solve for the base:
\[ \text{base} = \frac{15}{2.5} \]
Calculating the division:
\[ \text{base} = 6 \]
Thus, the length of the base of Ja'Miles' sign is \( \text{base} = 6 \) feet.
The correct response is:
6 feet