Question

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

Answer 1

Simple answer, swap the `x` and the `tan(62)`

Explanation:

More detailed answer:

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(62) = (20.31)/x` = `xtan(62) = 20.31`

Now we divide by `tan(62)` to isolate `x`.

`therefore x = (20.31)/tan(62)`

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