Answer:
about 0.974
Explanation:
The Pythagorean theorem tells you the other leg of the right triangle is ...
cos(angle) = √(1 -sin(angle)²) = √(1 -0.051076) = √0.948924
cos(angle) ≈ 0.974127 ≈ 0.974
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You can use your calculator to find the angle, then its cosine:
cos(angle) = cos(arcsin(0.226)) ≈ 0.974
You don't need to know the angle, and it doesn't matter whether it is in radians or degrees. (It is about 13.06° or 0.2280 radians.)