Help solving for rate of angular change

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SUMMARY

The discussion focuses on solving for the angular position θ(t) and the angular velocity dθ/dt in a given problem involving a right triangle. Participants suggest using trigonometric relationships to express θ in terms of x and y coordinates. The key steps include determining the relationship between x and time t to derive the function for θ as a function of time. This approach provides a clear pathway to solving the problem effectively.

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It'll be easier if I just enter this as an image:

[PLAIN]http://img40.imageshack.us/img40/7366/prob13.jpg

I'm not even really sure where to begin. Any help on a good general direction of where to go would be much appreciated. I need to solve for an expression which describes θ(t) , and the change in angular velocity (dθ/dt)
 
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You can draw a right triangle and figure out theta in terms of x and y. Then all you need to do is find x in terms of t. Also, part a just wants theta as a function of time.
 

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