show all work in setting up and solving a quadratic equation, and clearly state the answer to the given question.A rocket is fired off the ground at a target 200 metres away. It is designed to reach a height of 250 metres as it heads toward its target on a parabolic path.

a) Find the equation that represents the height off the ground versus the distance travelled for this rocket.

b) An 85-metre-high building stands between the launch site and the target. The building is only 20 metres from the target. Will the rocket hit or miss the building? Explain or justify your answer.