Let x be the scale factor.
Then, the ratio of the areas of the two triangles is x².
We are given that the larger triangle has an area of 360 square meters and the smaller triangle has an area of 2.5 square meters. So we can set up the equation:
x²(2.5) = 360
Solving for x, we get:
x = sqrt(360/2.5)
x = sqrt(144)
x = 12
Therefore, the scale factor is 12:1. Answer: 12:1.