Question

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.

Answer 1

Answer:

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