How Do I Solve Angle Problems in Physics?

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Attached are 3 problems that we were never shown in class on how to do it. I have a test in 3 days and need to figure this out, and no more class time.

Question 10 12 and 13.
We NEVER did anything with angles in it. And nothing like pulleys this way either.

As for 12 I see you have to do a Em on a point, then solve via Efx=0 and Efy=0 I guess.

Any help to get me started would be great, ANY HELP!.

Thank you
 

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I have not done these types of problems in a while but your question about angles, well you would solve the problems same way but in the calculation instead of having
example hale was hitting a window at a 45degree with speed 5km/s . the the speed would really be 5sin45 or 5cos45 depending on the direction or something its something like that.