A sign is in the shape of a triangle. The sign is 7.5 square feet in area and the triangle height is 2.5 feet. What is the length of the base of his sign?

The area of a triangle is given by the formula:

Area = (1/2) * base * height

Given that the area of the sign is 7.5 square feet and the height is 2.5 feet, we can plug in these values to find the length of the base:

7.5 = (1/2) * base * 2.5
7.5 = 1.25 * base
base = 7.5 / 1.25
base = 6 feet

Therefore, the length of the base of the sign is 6 feet.