I do not understand how to go about answering this question.

Question

A child enters a carousel that takes one minute to revolve once around. The child enters at the point (0, 1),
that is, on the due north position. Assume the carousel revolves counter clockwise when viewed from above.

What are the coordinates of the child after 105 seconds? (Round your answer to three decimal places.)

Answer 1

Draw a diagram!

105 seconds = 1 minute 45 seconds

The carousel has made 1 and 3/4 revolutions.

Child is at (1, 0).

Answer 2

Mark M. is absolutely right.

 

Just to make it a little more easier, the child is moving in a circle with a radius of 1

 

So the top of the circle is 0,1, bottom is 0, -1

 

The Western most point is -1, 0 and the Eastern most point is 1, 0