SOLUTION: Sheldon has a circular new train set with a radius of 2 feet. In the center of the track is the maintance shed for the track. If the engine moves from a position that is 2 feet d

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Sheldon has a circular new train set with a radius of 2 feet. In the center of the track is the maintance shed for the track. If the engine moves from a position that is 2 feet d      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1027302: Sheldon has a circular new train set with a radius of 2 feet. In the center of the track is the maintance shed for the track. If the engine moves from a position that is 2 feet due east of the shed for a distance of 4 feet and then breaks down, where does Sheldon send the crew to fix the train?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Sheldon has a circular new train set with a radius of 2 feet.
In the center of the track is the maintenance shed for the track.
If the engine moves from a position that is 2 feet due east of the shed for a distance of 4 feet and then breaks down, where does Sheldon send the crew to fix the train?
:
Find the circumference of the track:
C = 2%2Api%2A2
C = 4%2Api
Find the number of degrees 4 ft is of the circumference
4%2F%284%2Api%29 * 360 = 114.6 degrees
Ref true north as 0 degrees, east is 90 degrees, the train broke down:
114.6 + 90 = 204.6 degrees from the maint shed or just about SSW of the shed