Two roads that cross at right angles are used as the coordinate axes for a city map. a hospital is located at the point (−1.25, −5.5) -1.25, -5.5 . how far is the hospital from each road?

The problem can be modeled as a right triangle.
 For this case what we must do is find the distance by using the Pythagorean theorem.
 We have then:
 d = root (x ^ 2 + y ^ 2)
 Substituting values:
 d = root ((- 1.25) ^ 2 + (-5.5) ^ 2)
 d = 5.64 units
 
 the hospital is 5.64 units far from each road