Respuesta :

     31.0016578 degrees    :D

Answer:

31 degrees.

Step-by-step explanation:

Let the measure of angle be x degrees.

We have been given that an angle has a tangent ratio of 0.6009. We are asked to find the measure of angle.

We can represent this information in an equation as:

[tex]\text{tan}(x)=0.6009[/tex]

We will use arctan to solve our given problem.

[tex]x=\text{tan}^{-1}(0.6009)[/tex]

[tex]x=31.001657802187^{\circ}\approx 31^{\circ}[/tex]

Therefore, the measure of angle is approximately 31 degrees.