The modulus of $ z $ is:
$$ |z| = \sqrt{ 113 }$$To find modulus of a complex number $ z = a + bi $ we use formula:
$$ |z| = \sqrt{a^2 + b^2} $$In this example we have $ a = -7 $ and $ b = 8 $ so:
$$ \begin{aligned}|z| &= \sqrt{ (-7)^2 + 8^2 } \\[1 em]|z| &= \sqrt{ 49 + 64 } \\[1 em]|z| &= \sqrt{ 113 } \\[1 em] \end{aligned} $$