To find the height of a right rectangular prism, we can use the formula for the volume of the prism, which is given by:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
In this case, we know the volume (75 cm³), the length (2 cm), and the width (10 cm). We need to solve for the height (h).
Using the formula, we can rearrange it to find height:
\[ h = \frac{\text{Volume}}{\text{Length} \times \text{Width}} \]
Substituting the values in:
\[ h = \frac{75 , \text{cm}^3}{2 , \text{cm} \times 10 , \text{cm}} \]
Calculating the denominator:
\[ 2 , \text{cm} \times 10 , \text{cm} = 20 , \text{cm}^2 \]
Now substituting that back into the equation for height:
\[ h = \frac{75 , \text{cm}^3}{20 , \text{cm}^2} = 3.75 , \text{cm} \]
Thus, the height of the right rectangular prism is:
\[ \boxed{3.75} , \text{cm} \]