Answer:
[tex]\theta=38.7\degree[/tex]
Step-by-step explanation:
We want to solve [tex]\tan \theta=\frac{4}{5}[/tex] given that [tex]\theta[/tex] is acute.
We take tangent inverse of both sides to get:
[tex]\theta=\tan^{-1}(\frac{4}{5})[/tex]
Now set your calculator to degree mode and evaluate [tex]\tan^{-1}(\frac{4}{5})[/tex] to obtain:
[tex]\theta=38.6598\degree[/tex]
To one decimal place, we have;
[tex]\theta=38.7\degree[/tex]
