Finding the Opposite Side in a 30-Degree Triangle

In a right triangle, one of the angles measures $30^ ext{o}$. The hypotenuse of the triangle has a length of 10 units. What is the length of the side opposite to the $30^ ext{o}$ angle?

Use the sine function to find the missing side. Recall that:

Sine definition: For a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse:

$$ ext{sine}( heta) =\frac{ ext{opposite}}{ ext{hypotenuse}} $$