Respuesta :

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°