Question

To get the best view of the Statue of Liberty, you should be at the position where θ is a maximum. Suppose the statue stands 88 meters high, including the pedestal, which is 44 meters high.

Answer 1

(a) We can write θ = β − α. Let d be your distance from the base of the statue. Express β in terms of d.
β(d) =
Now express θ in terms of d.
(b) Find θ'(d) =
(c) How far from the base should you be? Give an exact answer.
d = meters

Answer 2

how would you find d if you knew beta?