Answer:
[tex]x=56.4\degree[/tex] to the nearest tenth.
Step-by-step explanation:
Recall the mnemonics SOH.
This means that;
[tex]\sin(x)=\frac{Opposite}{Hypotenuse}[/tex]
From the diagram, the side opposite to angle x is 10ft and the hypotenuse is 12 ft.
We substitute the values to get;
[tex]\sin(x)=\frac{10}{12}[/tex]
[tex]\sin(x)=\frac{5}{6}[/tex]
Take the sine inverse of both sides
[tex]x=\sin^{-1}(\frac{5}{6})[/tex]
[tex]x=56.4427\degree[/tex]
[tex]x=56.4\degree[/tex] to the nearest tenth.
