You are standing in the Uffizzi gallery admiring a painting by Botticelli. The painting is huge, and your viewing location is pictured below; all measurements are in meters. (a) Ifxis the your distance from the wall holding the painting, find a functionA(x)that computes the angleain the picture;A(x)= (b) Find the rate of change with respect toxof the angleawhen you are at the locationx (c) Find the rate of change with respect toxof the angleawhen you are at the locationx=4

m. (Exact answer.) (d) Find the rate of change with respect toxof the angleawhen you are at the locationx=13

m. (Exact answer.) (e) Find the location where the rate of change with respect toxof the angleais zero

m.(Exact answer.) (f) When you are standing at the location to maximizea, what is the value ofa?

(Radians to three decimal places.)