Answer: The measure of angle to the nearest tenth = 38.7°
Step-by-step explanation:
Since we have given that
A tangent of an angle = 0.8
i.e.
[tex]\tan \theta=0.8[/tex]
We need to find the measure if the angle to the nearest tenth.
According to question,
[tex]\tan \theta=0.8\\\\\theta=tan^{-1}(0.8)\\\\\theta=38.66=38.7\textdegree[/tex]
Hence, The measure of angle to the nearest tenth = 38.7°