Explanation:
Here is where to start
Remember for RIGHT triangles:
 S-O-H-C-A-H-T-O-A ??? 
First one Sin Φ = Opposite/Hypotenuse = 20 /29 
 Φ = arcsin (20/29)
Second One tan Φ = 12/15 
 Φ = arctan(12/15) 
Last one cos Φ = 377/512 
 Can you finish these with these heavy hints?