Respuesta :

First, we find the angle there using the cosine function

[tex]\begin{gathered} \cos \theta=-\frac{1}{4} \\ \theta=\cos ^{-1}(\frac{1}{4})=75.5 \end{gathered}[/tex]

So, the angle is 75.5°.

Then, we find the tangent of theta

[tex]\tan \theta=\tan (75.5)=3.9[/tex]

Hence, the tangent of theta is 3.9.