Final answer:
The exact height of the missile after 4 seconds cannot be determined with the information provided. Typically, a quadratic function describes the projectile's height over time, but more data is needed to solve for the function's coefficients and thus the missile's height at 4 seconds.
Step-by-step explanation:
The height h(x) of the missile can be represented by a quadratic function of time x, where x is in seconds. Based on the information given, after 1 second, the missile is at 110 feet, and after 2 seconds, it is at 200 feet. Typically, to determine the height after 4 seconds, we would need to know the initial velocity and the acceleration due to gravity. However, we only have two points on the missile's trajectory, so we cannot define the exact quadratic function without more information or making some assumptions.
Typical quadratic motion can be represented generically as \(h(x) = ax^2 + bx + c\). Given more points or values such as the initial velocity or the acceleration, we could solve for the coefficients a, b, and c. With those, we could find the height of the missile after 4 seconds by plugging x = 4 into our quadratic function.
Without that information or additional points, the height of the missile after 4 seconds remains undetermined from the data provided.