Answer :

Answer: [tex]\sqrt{1345}[/tex] or 36.67

Step-by-step explanation:

The Pythagorean theorem can be used to find x:

[tex]a^2 +b^2=c^2[/tex]

The c-value represents the hypotenuse, which is the length we're looking for. So, c = [tex]\sqrt{a^2+b^2}[/tex]

Plug in the given values for a and b and solve:

[tex]c=\sqrt{16^2+33^2}\\ c=\sqrt{256+1089}\\ c=\sqrt{1345} = 36.67[/tex]