16) Given a circular auditorium centered at point \(C\) with the conductor of a performing orchestra standing at the center (point \(C\)). The orchestra is seated on raised bleachers with the sides of the bleachers angled in at \(45^{\circ}\) (as shown). The bleachers are viewed by any position in the audience at a \(50^{\circ}\) angle (corner to corner as shown). The optimal viewing arc is divided in half at point \(P\).
a) How many degrees is the arc behind the orchestra bleachers (marked off as backstage)?
b) What is the central angle of the orchestra (where the conductor stands at point \(C\))?
c) What is the optimal viewing arc-angle?
d) In a concert, seats in the optimal viewing area are \(40\%\) more expensive than the other, economy seats. If a seat in
economy costs \(\$20\) dollars, how much would an “optimal” seat cost?
e) If each section contains the same number of seats on a semicircle in front of the orchestra, what is the ratio of
“optimal” seats to all “economy” seats (left and right)?
a) How many degrees is the arc behind the orchestra bleachers (marked off as backstage)?
b) What is the central angle of the orchestra (where the conductor stands at point \(C\))?
c) What is the optimal viewing arc-angle?
d) In a concert, seats in the optimal viewing area are \(40\%\) more expensive than the other, economy seats. If a seat in
economy costs \(\$20\) dollars, how much would an “optimal” seat cost?
e) If each section contains the same number of seats on a semicircle in front of the orchestra, what is the ratio of
“optimal” seats to all “economy” seats (left and right)?