Quiz 7.2:
Question:
A revolving door, which revolves counter-clockwise, was designed with five equally spaced panels for the entrance to the Pentagon. The arcs BC and AD have equal length.
5th Ed: #33
a) What is the angle between two adjacent panels?
b) A four-star general enters by pushing on a panel at point B and leaving at point D. What is the angle of rotation?
c) With the door in position as shown an admiral leaves the Pentagon by pushing the panel between A and D to point B. What is the angle of rotation?
b) A four-star general enters by pushing on a panel at point B and leaving at point D. What is the angle of rotation?
c) With the door in position as shown an admiral leaves the Pentagon by pushing the panel between A and D to point B. What is the angle of rotation?
5th Ed: #33
Solution:
a) \( \theta = \frac{360^\circ}{5^\circ}=72^\circ \)
b) \( \beta = 2\theta + \frac{1}{2}\theta = 144^\circ + 36^\circ = 180^\circ \)
c) \( \gamma = 3\theta = 216^\circ \)
b) \( \beta = 2\theta + \frac{1}{2}\theta = 144^\circ + 36^\circ = 180^\circ \)
c) \( \gamma = 3\theta = 216^\circ \)
