Consider the complex number $z = 3 - 4i$. You need to find the modulus of $z$, which is defined as the distance of the complex number from the origin in the complex plane. The modulus is calculated using the formula:
$$|z| = ext{sqrt}(a^2 + b^2)$$
where $z = a + bi$. What is the modulus of the complex number $z$?