Using complete sentences, define and compare radian measure to degree measure. in doing so, be sure to answer each of the following questions:
•when would degree measure be appropriate?
•when would radians be a better choice?
•what are the pros and cons of each?
2.adam and beth are visiting an amusement park and have decided to ride the carousel. adam picked a horse on the outside edge and beth chose a dragon on the inside, closer to the center.

part 1: do adam and beth travel the same distance during the ride? choose a distance that each seat (horse and dragon) sits from the center and use the radius to determine how far each would travel during one rotation.

part 2: choose an angle of rotation. using complete sentences, compare the distance adam and beth will travel during this angle measurement.

part 3: using complete sentences, describe which position you would prefer and why.
3.robbie the robot is on a weather satellite orbiting earth about 3600 km above the surface. the earth’s radius is about 6400 km. he has had a malfunction in his output device, and the satellite is traveling without communication. his last report was only in terms of trigonometric values and was only partially received. it said, sin θ < 0….. and then he was lost again.

part 1: create a set of coordinates that would be reasonable for robbie’s position in space and satisfy his last, partial report. using complete sentences, describe robbie’s location and your reasoning.

part 2: what are the values of the sin θ, cos θ, and tan θ using your coordinate point?