Finding an Angle Using Sine in a Right Triangle

In a right triangle, if one of the angles is $ heta$, then the sine of angle $ heta$ is defined as the ratio of the length of the side opposite to the angle $ heta$ to the length of the hypotenuse of the triangle. If the hypotenuse measures 10 units and the opposite side to angle $ heta$ measures 6 units, what is the value of $ heta$?

Use the sine function to solve for the angle: $$ ext{sine}( heta) =\frac{ ext{opposite}}{ ext{hypotenuse}} $$