Question

Just need some guidance please!
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?
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

Answer 1

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.

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?

Answer 2

this person sums it up nicely..
https://answers.yahoo.com/question/index?qid=20080901160041AAjErco

Answer 3

I think asking what the pros and cons of radians vs degrees might be like asking what the pros and cons are between feet and meters. there really isn't much of a pros/cons...just two different ways to express the same thing (in this case, measurements of angles).
The questions sounds like they leave it up to you to decide which to use...

Answer 4

Thanks. Do you know anything about the first parts?

Answer 5

part 1 asks to choose values for how far the dragon and horse are from the center. find the circumference of each value you chose and you'll have found how far it travels in one full rotation.
part 2 leaves it to you to use degrees or radians to describe how far along the circle they've traveled. for example, lets say they traveled 90 degrees along the circle. although they both make the same angle of rotation, they will not have covered the same distance. you can think of it as yourself sitting in a swivel chair and rotating 90 degrees with your arms extended in front of you - your head will have rotated at the center while your arms cover a little more distance on the "outer circle" of rotation.
part 3 : i'd prefer the outer position. objects rotating around a center will move faster than objects that are rotating farther away from that same center. the closer you are to the center, the faster you will go and depending on how close you've chosen beth to be from the center she's probably going to be a little dizzier than adam after the ride

Answer 6

i'm a little rusty on my trig and wouldn't be much help on robbie the robot's mishap. repost for more help on that part

Answer 7

Thanks for all the help you have given so far