Respuesta :

Answer:

[tex]C=8^o[/tex]

Step-by-step explanation:

To find the angle C given the equation [tex]tan(C)=0.1405[/tex], use the "arctan" function [which is the inverse function of tangent] on both sides of the equation as shown below:

[tex]tan(C)=0.1405\\arctan(tan(C)) = arctan(0.1405)\\C=arctan(0.1405)\\C=7.9977^o[/tex]

This can be rounded to the nearest degree as: [tex]C=8^o[/tex]