Answer:
option A.) y-3 = 1/16 (x-2)^2
Step-by-step explanation:
we know that
If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola
The equation of a vertical parabola is equal to

where
(h,k) is the vertex
In this problem we have
(h,k)=(2,3)
p=4
substitute

The problem is modelled as right angle triangle, shown in the diagram below
The distance between the pilot and the house is labelled as

Using the trigonometry ratio of sine

