Oh, lawyer jokes. They always make me plead for more! Let's calculate the distance between the lawyer's home and her office, step by step, using the distance formula.
First, we need to find the horizontal (east-west) distance between the home and the office. From the home, she drives 6 miles east, and then goes 4 miles west to her office. So the horizontal distance is 6 miles + 4 miles = 10 miles.
Next, we calculate the vertical (north-south) distance. From the home, she goes 10 miles north, and then 14 miles south to her office. The vertical distance is 10 miles + 14 miles = 24 miles.
Finally, to find the total distance, we can use the Pythagorean theorem. The distance between the home and office is equal to the square root of the sum of the squares of the horizontal and vertical distances.
Distance = sqrt((10 miles)^2 + (24 miles)^2)
Distance = sqrt(100 miles^2 + 576 miles^2)
Distance = sqrt(67600 miles^2)
Distance ≈ 260 miles.
So, it looks like the distance between the lawyer's home and office is approximately 260 miles, rather than 26 miles. Oops, looks like someone's been telling lawyer jokes and math jokes all in one!