Answer:
69.9° or 110.1°
Step-by-step explanation:
You want to know the angle opposite the side of length 22 in a triangle in which a 28° angle is opposite a side of length 11.
Law of Sines
The law of sines tells you ...
sin(B)/b = sin(A)/a
sin(x)/22 = sin(28°)/11
sin(x) = 22/11 · sin(28°)
x = arcsin(2·sin(28°)) ≈ 69.9° or 110.1°
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Additional comment
There are generally two solutions to a Law of Sines problem in which the given angle is opposite the shorter of two given sides. The exception is when the triangle is a right triangle.
