Question 188351
+++++
=SUN=
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|66
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|________\A 
...44

a=66
b=44
Angle A is the sought angle. Since you know the a and b sides, use arctangent (inverse tan). 
tan A = a/b 
tan A = 66/44 = 1.5
now arctan the result to get the angle.
(inv tan)1.5 = 56.31 (rounded up)

Check your answer: all angles in the triangle add up to 180. The right triangle has a 90 degree angle, so 180-90-56.31 = 33.69 should be the other unsolved angle. 
tan B = b/a
tan B = 44/66 = .6667
(inv tan).6667 = 33.69

Geometry purist may want to post a proof that does not use trig funcs.