ANSWER
[tex]sin^{-1}(0.61)=37.6\degree[/tex]
EXPLANATION
We want to find
[tex]sin^{-1}(0.61)[/tex]
We can use at least a scientific calculator to find the value of the given expression.
The sine inverse function is a secondary function.
So you press SHIFT then press Sin
to access the sine inverse function and then type 0.61 in it.
Close the parenthesis and press "="
This will give you the value.
[tex]sin^{-1}(0.61)=37.5895[/tex]
We round to the nearest tenth to get,
[tex]sin^{-1}(0.61)=37.6\degree[/tex]