I'm refreshing on some trig and cannot figure out how to solve this non-realistic word problem simulating a person walking in a circle.
A person is located at the point (8,0) at time, t = 0, and walks at the rate of 8 yards/min in a counterclockwise direction along the circle centered at the origin of radius 8.
What are the coordinates (x,y) which give the location of the person after 29 minutes?
After how many minutes will the person return to their starting location (8,0)?
I know that I'm supposed to be using the unit circle, but can't seem to come up with an answer. Here's what I've done:
i.) The circumference of the circle is 16Pi?
ii.) The distance traveled in 29 min is 232 yards?
iii.) Hypotenuse is 232?
I know that I somehow have to make a triangle and use trig functions to answer the 2 questions but I don't understand what the side lengths would be. Starting out, I think the adjacent side is 8 yards? And I believe x = r*cos(z) and y = r*sin(z)?
I just need some help getting started. Anything will be greatly appreciated. Thanks!