With the facts that you have selected in the previous question, you'll be able to complete steps 3 and 5. 3. Write a function that relates the quantity to be optimized to other variables in the problem 4. Identify the domain of the function 5. Construct relationships between variables (sometimes using geometric relationships) and use them to reduce the target equation to a single variable For step 4, since it is not specified in the question, we can assume that you can stand as close to the statue as physically possible (0 metres from the statue) or as far away as you want. So, the domain of the function is [0, oo). Now, complete step 6 to find out how far away from the base (in metres) you should be in order to get the best view of the Statue of Liberty. 6. Apply techniques for finding global extrema to thoroughly justify a choice of global maxima or minima.We are going to solve the following problem in parts: To get the best View of the Statue of Liberty in the diagram below, you should be at the position where the viewing angle 9 is at a maximum. If the statue stands 92 metres high, including the pedestal, which is 46 metres high, how far from the base should you be? tank 1 [image from Smashicons Flu and Nes_Kanyanee |=-:.l Let (i be your distance from the base of the statue. First, complete step 1 on your own or refer to the diagram in the next question: 1. Draw a diagram and introduce notation to describe the situation. Then, ll in the blanks for step 2: 2. Identify quantity to be optimized, and whethera maxima or minima needs to be found We want to [59'9\"] : the quantity [59'9\"] : , which is a function of the variable cl. Answer 1: maximize Answer 2: 9 Answer 3: Below is a diagram of the situation described above. B From the following facts. select all that can help you come up with a formula for the function you want to optimize? v' Triangles BAD and CAD are right angle triangles sin\" a + W? a = 1 mama) = and mama) = % The area of triangle BAD is equal to the area of triangle BAC minus the area of triangle CAD. The area of triangles BAD and CAD are 92.13 and i461}. respectively J LEAD=BAC+ZGAE iABG-l- 3416 -l- #4133 = 1r radians