A lawyer drives from her home, located 88 milesmiles east and 1818 milesmiles north of the town courthouse, to her office, located 1313 milesmiles west and 5454 milesmiles south of the courthouse. Find the distance between the lawyer's home and her office.

the distance between the lawyer's home and her office is 124 miles

Explanation:

given information:

first lets assume that

x-axis (west = positive, east = negative)

y-axis (north = positive, south = negative)

thus,

distance of the house = (-88,18)

distance of the office = (13, - 54)

thus, the distance between the lawyer's home and her office

R = √ (x₂ - x₁) ² + (y₂ - y₁) ²

= √ (13 - (-88)) ² + (-54 - 18) ²

= 124 miles