Question

A park is 3 miles east and 4 miles south of your apartment. Find the distance between the park and your school

Answer 1

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

$a^{2}+b^{2} =c^{2}$

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.

$3^{2} +4^{2} = c^{2}$  ... square both the 3 and the 4

$9 + 16 = c^{2}$   ... add the two values

$25 = c^{2}$  ... square root both sides

$\sqrt{25} = c$

5 = c

Finally we can see that there is a 5-mile distance between the park and the apartment