To determine the maximum height of the volleyball, we need to evaluate the given height function at the time when it reaches its maximum height. The height function is given by:
[tex]\[
h(t) = -16t^2 + 20t + 6
\][/tex]
We are told that the volleyball reaches its maximum height at [tex]\( t = 0.625 \)[/tex] seconds. To find the corresponding height at this moment, we simply substitute [tex]\( t = 0.625 \)[/tex] into the equation:
[tex]\[
h(0.625) = -16(0.625)^2 + 20(0.625) + 6
\][/tex]
Upon evaluation, we find that:
[tex]\[
h(0.625) = 12.25
\][/tex]
Therefore, the maximum height of the volleyball is:
[tex]\[
\boxed{12.25 \text{ feet}}
\][/tex]
Hence, the correct answer is:
A. 12.25 feet
