The modulus of $ z $ is:
$$ |z| = 10 \sqrt{ 157 }$$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 = 60 $ and $ b = 110 $ so:
$$ \begin{aligned}|z| &= \sqrt{ 60^2 + 110^2 } \\[1 em]|z| &= \sqrt{ 3600 + 12100 } \\[1 em]|z| &= \sqrt{ 15700 } \\[1 em]|z| &= 10 \sqrt{ 157 } \\[1 em] \end{aligned} $$