To find the height of a right rectangular prism, we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Given:
- Volume \( V = 75 \) cm³
- Length \( l = 2 \) cm
- Width \( w = 10 \) cm
We can rearrange the formula to solve for height \( h \):
\[ h = \frac{V}{l \times w} \]
Substituting in the given values:
\[ h = \frac{75}{2 \times 10} \]
Calculating the denominator:
\[ 2 \times 10 = 20 \]
Now substituting that back into the equation for height:
\[ h = \frac{75}{20} = 3.75 \]
So, the height of the rectangular prism is:
\[ \boxed{3.75} \text{ cm} \]