how to find the missing angle of a triangle using triganometry when the hypotenuse is 12cm and the opposite is 5 c,
Use the fact that sin(angle) = opposite/hypotenuse
or angle = sin-1(opposite/hypotenuse)
\(sin \vartheta = \frac{5}{12}\)
\(\vartheta = sin^{-1}(\frac{5}{12})\)
which is approximately 24.6243°
Therefore, the missing angle is 24.6243° which is about 0.429775 radians (all corr. to 6 sig. fig.)
