To find the height of a right rectangular prism, we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
We are given:
- Volume = 75 cm³
- Length = 2 cm
- Width = 10 cm
We can rearrange the formula to solve for height:
\[ \text{Height} = \frac{\text{Volume}}{\text{Length} \times \text{Width}} \]
Substituting the values we have:
\[ \text{Height} = \frac{75 , \text{cm}^3}{2 , \text{cm} \times 10 , \text{cm}} = \frac{75 , \text{cm}^3}{20 , \text{cm}^2} \]
Now, calculating the height:
\[ \text{Height} = \frac{75}{20} = 3.75 , \text{cm} \]
So the height of the right rectangular prism is
\[ \boxed{3.75} , \text{cm} \]