Answer: 20 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
x^2 = a^2 + b^2
Where x is the hypotenuse of the triangle (in this case the distance between Dayton and Belleville) and a and b are the other sides.
Replacing with the values given:
x^2 = 16^2 + 12^2
x^2 = 256+144
x^2 = 400
x = √400
x = 20 miles
Feel free to ask for more if needed or if you did not understand something.