Answer:
A. 2.25 feet.
Step-by-step explanation:
We know the following equation:
![v=\sqrt[]{2gh}](https://img.qammunity.org/2023/formulas/physics/college/h5x6lakwlbvixuxzx7xrzzklyp6k7d0vvk.png)
Where v is the speed, g is the gravity and h is the height. So, replacing v by 12 feet per second and g by 32 feet per second square, we get:
![12=\sqrt[]{2(32)h}](https://img.qammunity.org/2023/formulas/mathematics/high-school/v4k3p12pmjp15hssnhp714ipmi6hbnwi8r.png)
So, solving for h, we get:
![\begin{gathered} 12=\sqrt[]{64h} \\ 12^2=(\sqrt[]{64h})^2 \\ 144=64h \\ (144)/(64)=(64h)/(64) \\ 2.25=h \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/fqdm8w7n7ayz76506hj6elqojvifc9kr7b.png)
Therefore, the answer is A. 2.25 feet.