I encountered this problem before but it had choices. If this problem had these choices:
A) 2 and 5
B) 3 and 5
C) 4 and 5
Then the correct answer is A) 2 and 5.
We will use the tangent ratio.
tanΘ = opposite/adjacent
tan 22° = 2/5
0.404 = 0.40
Thus the two numbers that represent the lengths of the legs of the right triangle are 2 and 5.