AMPHITHEATER Suppose a singer is performing at an amphitheater. We can model this situation with polar coordinates by assuming that the singer is standing at the pole and is facing the direction of the polar axis. The seats can then be described as occupying the area defined by -45° s0s 45° and 30 srs 240, where r is measured in meters. a. Sketch a graph of this region on a polar grid. b. If each person needs 5 square meters of space, how many seats can fit in the amphitheater?

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50. AMPHITHEATER Suppose a singer is performing at an
amphitheater. We can model this situation with polar
coordinates by assuming that the singer is standing at
the pole and is facing the direction of the polar axis.
The seats can then be described as occupying the area
defined by -45° <0s 45° and 30 srs 240, where r is
measured in meters.
a. Sketch a graph of this region on a polar grid.
b. If each person needs 5 square meters of space, how many
seats can fit in the amphitheater?
in
Transcribed Image Text:50. AMPHITHEATER Suppose a singer is performing at an amphitheater. We can model this situation with polar coordinates by assuming that the singer is standing at the pole and is facing the direction of the polar axis. The seats can then be described as occupying the area defined by -45° <0s 45° and 30 srs 240, where r is measured in meters. a. Sketch a graph of this region on a polar grid. b. If each person needs 5 square meters of space, how many seats can fit in the amphitheater? in
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