Finding the Hypotenuse of a Right Triangle

In a right triangle, angle A is $30^{ ext{o}}$ and angle B is $90^{ ext{o}}$. If the length of the side opposite angle A is 4 units, what is the length of the hypotenuse?

You can use the sine ratio which states that for any angle in a right triangle, the sine of the angle is the ratio of the length of the opposite side to the length of the hypotenuse. Mathematically, this can be expressed as:

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

For angle A, this becomes:

$$ \sin(30^{ ext{o}}) = \frac{4}{\text{hypotenuse}} $$