The Solution:
Given:
We are required to find the measure of angle H.
By applying the trigonometric ratio, we have that:
[tex]\begin{gathered} \tan\angle H=\frac{opposite}{adjacent} \\ \\ \tan\angle H=\frac{8}{4} \end{gathered}[/tex][tex]\begin{gathered} \tan\angle H=2 \\ \text{ Take the arctan of 2} \end{gathered}[/tex][tex]\angle H=\tan^{-1}(2)=63.4349\approx63.4^o[/tex]
Therefore, the correct answer is 63.4 degrees.
