Question

Tan x=3/5 nearest tenth

Answer 1

`x\approx31\°`

Explanation:

Given expression:

`\tan x=(3)/(5)`

To solve for
`x` to nearest tenth.

Solution:

We have:

`\tan x=(3)/(5)`

In order to solve for
`x` we will tan inverse tan on both sides in order to isolate
`x`.

`\tan^(-1)(\tan x)=\tan^(-1)(3)/(5)`

`x=\tan^(-1)(3)/(5)` [ Since
`\tan^(-1)(\tan \theta)=\theta`]

`x=30.96\°`

We will round to nearest tenth. So,

`x\approx31\°` (Answer)