Answer: 1141km
Step-by-step explanation:
Given the following :
Distance due west = 915m
Distance due North = 681m
The magnitude of the Displacement =?
The information above produces a right angle triangle and the magnitude of the displacement can be calculated using Pythagoras rule :
The Magnitude of the woman's Displacement represents the hypotenuse of the triangle:
From Pythagoras :
Hypotenus = √(opposite)^2 + (adjacent)^2
Hypotenus = √(915)^2 + (681)^2
Hypotenuse = √1300986
Hypotenuse= 1140.6077
The magnitude of woman's displacement = 1140.6077 = 1141(to the nearest kilometer).