Finding the Hypotenuse in a 30 Degree Triangle

Consider a right triangle where one of the angles is $30^{ ext{o}}$. The length of the side opposite this angle is 4 units. Using the properties of trigonometric ratios, calculate the length of the hypotenuse of this triangle.

Recall that for a $30^{ ext{o}}$ angle in a right triangle, the sine function gives the ratio of the length of the opposite side to the length of the hypotenuse.

According to the sine definition, we have:

$$ ext{sin}(30^{ ext{o}}) = rac{ ext{opposite}}{ ext{hypotenuse}} $$

Here, $ ext{opposite} = 4$. Determine the length of the hypotenuse.