Verified Answer :

For this problem, SSA, we use the Law of Sines
We are given:
 - angle A (87°)
 - side length a (22)
 - side length c (12)
we will plug these into the formulas to solve for the missing values
I'll try to get these as exact as possible ( you can approximate if needed)

First: Use the Law of Sines to find angle G. 
sin G / c =sin A / a 
sin G / 12 =sin(87°) / 22 
sin G = (0.999 x 12) / 22 
sin G =0.545
 G =sin-1(0.545) 
G =33.005°
Then: Find remaining angle by subtracting the other angles from 180°. 
B =180° - G° - A° 
B =180° - 33.005° - 87° 
B =59.995°
Lastly: Use the Law of Sines to find side c.
 b / sin(B) =a / sin(A) 
c / sin(59.995°) =22 / sin(87°) 
c =(sin(59.995°) x 22) / sin(87°) 
c =19.078

Hope this helps :)
(sry it took a while)

Answer:

Step-by-step explanation:

sin G / c =sin A / a 

sin G / 12 =sin(87°) / 22 

sin G = (0.999 x 12) / 22 

sin G =0.545

 G =sin-1(0.545) 

G =33.005°

B =180° - G° - A° 

B =180° - 33.005° - 87° 

B =59.995°

 b / sin(B) =a / sin(A) 

c / sin(59.995°) =22 / sin(87°) 

c =(sin(59.995°) x 22) / sin(87°) 

c =19.078

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