MHB Right Angle Triangle, at a loss

AI Thread Summary
The calculation of Sin(70°) using the formula Sin(70°) = Opp / 30.816 yields an opposite side of 28.95757. However, reversing the equation to find the angle using Sin(X) = 28.95757 / 30.816 results in a value greater than 1, which is not valid for sine functions. This discrepancy arises from the misunderstanding of how to apply the sine function correctly. When using the arcsin function, the correct angle calculated is approximately 70°, confirming the initial calculation. The confusion highlights the importance of correctly interpreting sine values and their corresponding angles in right-angled triangles.
GroundSpider
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So I have calculated Sin(70°) = Opp / 30.816, in this equation Opp = 28.95757

BUT when I do Sin(X) = 28.95757 / 30.816 I result in 1.08422336464 when converted to degrees gives me 62.12° NOT 70°

If I put Opp (a) (28.95757) and Hypotenuse of (30.816) into the following calculator it says 70° should be the resulting angle A.

Right-Angled Triangle Calculator



What am I doing wrong?
 
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According to W|A, we find:

$$\frac{180}{\pi}\arcsin\left(\frac{28.95757}{30.816}\right)\approx70.0000119479974
$$
 
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