How do you evaluate \tan (62)=\frac{20.31}{x}?

Jan 7, 2018

Simple answer, swap the $x$ and the $\tan \left(62\right)$

Explanation:

This may seem complicated but it is much like solving any other linear equation. Isolate the variable, in this case $x$, and solve.

Lets start with isolating $x$

First multiply through by $x$ to remove the fraction.

$\therefore \tan \left(62\right) = \frac{20.31}{x}$ = $x \tan \left(62\right) = 20.31$

Now we divide by $\tan \left(62\right)$ to isolate $x$.

$\therefore x = \frac{20.31}{\tan} \left(62\right)$

This number would give an atrociously long decimal so it's best to keep it exact as it looks neater.