A lawyer drives from her home, located 3 miles east and 5 miles north of the town courthouse, to her office, located 6 miles west and 7 miles south of the courthouse.

Find the distance between the lawyer's home and her office.

miles.

The distance between her home and her office is

(Type an integer or a decimal.)

This is more of a physics question. Basically you have to separate all the given values into x - and y - coordinates. You are given the home (3 miles East) (5 miles up), so the 3 miles would be on the x axis and the 6 miles on the 6 axis

Given that, you can determine the total displacement of the house from the town using Pythagorean's theorem. You then do the same with the office and then add your 2 resultant answers together.

The home will be square root 34 miles away from the town, and the office will be square root 85 miles. Adding these together, the answer would be

15,05 miles

Meaning that the lawyers home is 15,05 miles from her office (home to office would be in a south western direction)