Respuesta :

Answer:

The approximate value is [tex]56.63^o[/tex]

Step-by-step explanation:

Let

[tex]\theta[/tex] ----> the measure of angle in degrees

we have that

[tex]cos(\theta)=0.55[/tex]

Using a calculator

Find the measure of angle  [tex]\theta[/tex]

[tex]\theta=cos^{-1}(0.55)[/tex]

[tex]\theta=56.63^o[/tex]