Mark M. answered • 09/14/18

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Retired Math prof with teaching and tutoring experience in trig.

sine is positive in quadrants 1 and 2, so there are two solutions:

θ = Sin

^{-1}(1/8) and 180° - Sin^{-1}(1/8) = 7.2° and 172.8° (rounded to 1 decimal place)