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6 feet
To find the length of the base of the triangle, you need to use the formula for the area of a triangle: A = 0.5 * base * height.
Plugging in the values given:
7.5 = 0.5 * base * 2.5
Solve for base:
base = 7.5 / (0.5 * 2.5)
base = 7.5 / 1.25
base = 6 feet
Therefore, the length of the base of his sign is 6 feet.