The Hall of Fame exhibits are displayed in an eight-story, 162-foot tower. Pei originally designed a 200-foot tower, but had to reduce its height to meet the requirements of a nearby airport. From the top of the existing tower, an observer sights the entrance to the museum’s plaza with an angle of depression of 18º. What would be the angle of depression to the entrance of the plaza from Pei’s original tower? Round to the nearest tenth of a degree.

Answer 1

X = 162 / tan18 = 499Ft = Dist. from tower to entrance of plaza.

Original Tower:
tanA = Y/X = 200 / 499 = 0.401,
A = 21.8 Deg.

Answer 2

21.9