Right Angle Triangle, at a loss

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SUMMARY

The discussion centers on the calculation of angles in a right-angled triangle using trigonometric functions. The user calculated Sin(70°) = Opp / 30.816, yielding Opp = 28.95757. However, when attempting to find the angle using Sin(X) = 28.95757 / 30.816, the user incorrectly derived an angle of 62.12°. The correct calculation using the arcsin function confirms that the angle should indeed be approximately 70°.

PREREQUISITES
  • Understanding of basic trigonometric functions (sine, arcsine)
  • Knowledge of right-angled triangle properties
  • Familiarity with angle measurement in degrees and radians
  • Ability to use scientific calculators or online tools for trigonometric calculations
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  • Learn how to use the arcsin function in various programming languages
  • Explore the properties of right-angled triangles in geometry
  • Study the relationship between sine, cosine, and tangent functions
  • Practice solving right-angled triangle problems using different methods
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Students studying trigonometry, educators teaching geometry, and anyone interested in mastering right-angled triangle calculations.

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?
 
Mathematics news on Phys.org
According to W|A, we find:

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

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