It will reach about 242.56 feet after 3.81 seconds.
In this quadratic equations, we have the following values.
A = -16, B = 122 and C = 10
The expression for x-value of the vertex is (-b/2a). Doing this will give you the time of 3.8125 seconds.
Just input that value back into the equation and you will get the max height of 242.56 feet.