Answer:
[tex]H=53\degree[/tex]
Step-by-step explanation:
All the lengths of the sides of the given right angle triangle is given.
We can use any of the basic trigonometric ratios to find angle H.
Recall that;
[tex]\sin(H)=\frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(H)=\frac{8}{10}[/tex]
[tex]\sin(H)=0.8[/tex]
We take the inverse sine of both sides to get;
[tex]H=\sin^{-1}(0.8)[/tex]
This implies that
[tex]H=53.1\degree[/tex]
[tex]H=53\degree[/tex] to the nearest degree.
