Question

Frank stands 580 feet from the base of the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of depression from the top of the statue’s torch to Frank? Round the answer to the nearest tenth. a. 27.4º b. 33.9º c. 62.2º d. 62.6º

Answer 1

For this case we can model the problem as a rectangle triangle.
 We then have the following trigonometric relationship
 tan (theta) = 306/580
 Clearing the angle we have:
 theta = atan (306/580)
 theta = 27.8 degrees
 The nearest option is:
 theta = 27.4 degrees
 Answer:
 the angle of depression from the top of the statue's torch to Frank is:
 a. 27.4º