Answer:
5-mile
Step-by-step explanation:
In order to calculate the distance between the park and the school, which is marked by the x in the picture attached we need to use the Pythagorean theorem. This equation is the following
[tex]a^{2}+b^{2} =c^{2}[/tex]
where a is the 3 miles east and b is the 4 miles south ... now we can plug in these values and solve the equation.
[tex]3^{2} +4^{2} = c^{2}[/tex] ... square both the 3 and the 4
[tex]9 + 16 = c^{2}[/tex] ... add the two values
[tex]25 = c^{2}[/tex] ... square root both sides
[tex]\sqrt{25} = c[/tex]
5 = c
Finally we can see that there is a 5-mile distance between the park and the apartment
