Question

From the library, Mia's restaurant is located due south, and Kelly's clothing store is located due west. The restaurant and the clothing store are 6 miles apart. If Kelly's clothing store is 4.8 miles from the library, how far from the library is Mia's restaurant?

Answer 1

the distances make a right triangle
by pythagorean theorem:

a^2+b^2=c^2 plug in the numbers

a^2 + 4.8^2 = 6^2

a^2 = 36 -23.04

a=sqrt(12.96)

a=???