Continuing Question 54 of Exercises 2.6.2, show that

and by applying the arithmetic–geometric inequality to

deduce that θ° achieves its maximum value where d = 2√3.

Data from Question 54 of Exercises 2.6.2

The lower edge of a mural, which is 4 m high, is 2 m above an observer’s eye level, as shown in Figure 2.53. Show that the optical angle θ° is given by

where d m is the distance of the observer from the mural. See Review exercises Question 23.

Figure 2.53

Transcribed Image Text:

cot 0 = 12 + d 4d