Answer:
[tex]x\approx31\°[/tex]
Step-by-step explanation:
Given expression:
[tex]\tan x=\frac{3}{5}[/tex]
To solve for [tex]x[/tex] to nearest tenth.
Solution:
We have:
[tex]\tan x=\frac{3}{5}[/tex]
In order to solve for [tex]x[/tex] we will tan inverse tan on both sides in order to isolate [tex]x[/tex].
[tex]\tan^{-1}(\tan x)=\tan^{-1}\frac{3}{5}[/tex]
[tex] x=\tan^{-1}\frac{3}{5}[/tex] [ Since [tex]\tan^{-1}(\tan \theta)=\theta[/tex]]
[tex]x=30.96\°[/tex]
We will round to nearest tenth. So,
[tex]x\approx31\°[/tex] (Answer)
