Hello! First, let's write the information contained in the exercise:
• 18 blocks north
,• 16 blocks south
,• 10 blocks east
Notice that north and south are opposite directions, right? So, we can subtract it:
18 north - 16 south = 2 blocks vertically
10 blocks horizontally
Now, we can write it as a right triangle, look:
Solving it using Pythagorean Theorem:
[tex]\begin{gathered} x^2=2^2+10^2 \\ x^2=4+100 \\ x^2=104 \\ x=\sqrt[]{104} \\ x\cong10.2\text{ blocks of displacement} \end{gathered}[/tex]
