To answer this question, we have to carefully draw a sketch of the situation as follows:
In this graph, we have a right triangle, and we can use the Pythagorean Theorem to find the value for side x. Then, we can proceed as follows to find the value of x.
[tex]5^2=4^2+x^2\Rightarrow x^2=5^2-4^2\Rightarrow x=\sqrt[]{5^2-4^2}\Rightarrow x=\sqrt[]{25-16}\Rightarrow x=\sqrt[]{9}[/tex]Therefore, x is:
[tex]x=\sqrt[]{9}\Rightarrow x=3[/tex]Hence, the distance between Belle and Antonio is 3 meters.
