Question

what is the scale factor from the original figure to the scaled copy?

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from the original figure to the scaled - copy for similar figures is given by the ratio of corresponding side lengths. For a triangle, we can use the ratio of corresponding heights (or bases). Let the height of the original triangle be $h_1 = 12$ and the height of the scaled - copy be $h_2=30$.

Step2: Calculate the scale factor

The scale factor $k=\frac{h_2}{h_1}$. Substitute $h_1 = 12$ and $h_2 = 30$ into the formula: $k=\frac{30}{12}=\frac{5}{2}=2.5$.

Answer:

$2.5$