Equation to find angle in right triangle if you know two sides.

$\begingroup$

So for example: you have right triangle and you know it’s catheters and I need to find this angle. Helm me out with the equation!

$\endgroup$ 1

2 Answers

$\begingroup$

Hint: Compute $$\tan(\alpha)=\frac{y}{x}$$

$\endgroup$ $\begingroup$

For this question, we will use $\tan$ because we know the sides $x$ and $y$, which are the opposite and adjacent sides of the angle.

$\tan (\theta) =$ $o \over a$ (Opposite over adjacent) The opposite side of the angle is $y$, and the adjacent side is $x$.

$\tan (\theta) =$$y \over x$

$\theta = \tan^{-1}($$y \over x$$)$

$\endgroup$