ANSWER
The required angle is
[tex]60 \degree[/tex]
EXPLANATION
Let the angle whose sine is
[tex] \frac{ \sqrt{3} }{2} [/tex]
be
[tex]x \degree[/tex]
Then
[tex] \sin(x \degree) = \frac{ \sqrt{3} }{2} [/tex]
We take the inverse sign of both sides to obtain,
[tex]x = \sin ^{ - 1} ( \frac{ \sqrt{3} }{2} ) [/tex]
We use our scientific calculator to evaluate and obtain,
[tex]x = 60 \degree[/tex]
