In this problem all we need to do is plug in the given.
When we analyze the equation (which you did), we see that h represents height and t stands for time. They gave you the time, 4 seconds. When we plug that in we get: [tex]h = 120 \times 4 - 16 \times {4}^{2} [/tex]
Simplify:
[tex]h = 480 - 16 \times 16[/tex]
[tex]h = 480 - 256[/tex]
[tex]h = 144[/tex]
The question says that h is the height in terms of feet.
So the answer is 144 feet.