Answer:
The modulus is 39
Step-by-step explanation:
Modulus of a complex number
The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:
[tex]\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}[/tex]
The given complex number is z = 15 + 36i
Calculating the modulus:
[tex]|z|=\sqrt {15^{2}+36^{2}}[/tex]
[tex]|z|=\sqrt {225+1296}[/tex]
[tex]\boxed{|z|=\sqrt {1521}}[/tex]
|z|=39
The modulus is 39
