Question

\tan \left(18\right)=\frac{x}{20}

Answer 1

x ≈ 6.5

Explanation:

We have the epresion
`tan(18)=(x)/(20)` and we want to find the value of
`x`.

Let's do it step-by-step

Step 1. Multiply both sides of the equation by 20

`tan(18)=(x)/(20)`

`20tan(18)=((x)/(20) )(20)`

`20tan(18)=x`

Step 2. use the reflexive property of equality: if
`a=b` then
`b=a`

`20tan(18)=x`

`x=20tan(18)`

Step 3. Using a calculator we get that
`tan(18)=0.325`. Replacing that value we get

`x=20(0.325)`

x ≈ 6.5

We can conclude that the value of x is approximately 6.5