Respuesta :

Answer:

[tex]75.52^o[/tex]

Step-by-step explanation:

Let

x ----> the measure of the angle

we have

[tex]cos(x)=\frac{1}{4}[/tex]

using a calculator

Find the the measure of angle x

[tex]x=cos^{-1}(\frac{1}{4})[/tex]

[tex]x=75.52^o[/tex]