SOLUTION: A race-car starts at the 3 o'clock position and drives counterclockwise on a circular track with a radius 2.9 miles. How many miles to the right of the center of the track is th

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Question 1005667: A race-car starts at the 3 o'clock position and drives counterclockwise on a circular track with a radius 2.9 miles.
How many miles to the right of the center of the track is the car when the car has traveled 10.5 miles?
Please help, I am not understand this. Thank you so much... :)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A race-car starts at the 3 o'clock position and drives counterclockwise on a circular track with a radius 2.9 miles.
How many miles to the right of the center of the track is the car when the car has traveled 10.5 miles?
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Find the angle at the center.
angle A = arc/r = 10.5/2.9 radians
The horizontal distance (x value) = 2.9*cos(A)
=~ -2.57 miles
--> It's to the left of center. The 1/2 way point is 2.9*pi =~ 9.11 miles