Question

A lawyer drives from her home, located 15 miles east and 28 miles north of the town courthouse, to her office, located 6 miles west and 44 miles south of the courthouse. Find the distance between the lawyer's home and her office.​

Answer 1

Explanation:

I know the answer is 26 miles but I cannot figure out how they came up with that answer using the distance formula.It looks like you need to find the shortest distance (as the crow flies) between the home and the office.

Use the Pythagorean Theorem.

6^2 + 10^2 = c^2

136 = c^2

11.67 = c

4^2 + 14^2 = c^2

212 = c^2

14.56 = c

11.67 + 14.56 = 26.2 = 26 miles