Awoman walks 4km east and then 8km north use the polygon method to find her resultant fisplacement
think hypotenuse.
To find the woman's resultant displacement using the polygon method, we can draw a diagram.
First, let's start by plotting the woman's initial position as the origin (0,0) on a coordinate system. Next, we can draw a line segment representing her 4km eastward movement from the origin. This line segment will have a length of 4 units and will be horizontal.
From the endpoint of this line segment, we can draw another line segment representing her 8km northward movement. This line segment will have a length of 8 units and will be vertical.
To determine the woman's resultant displacement, we can draw a line connecting the initial and final positions. This line will represent the straight-line distance and direction between the starting point and the ending point.
Now, we can use the Pythagorean theorem to calculate the length of the resultant displacement. The Pythagorean theorem states that the square of the hypotenuse (in this case, the length of the resultant displacement) is equal to the sum of the squares of the other two sides (the horizontal and vertical distances).
Using this information, the resultant displacement can be calculated as follows:
Resultant displacement = √((4km)^2 + (8km)^2)
= √(16km^2 + 64km^2)
= √(80km^2)
= √80 km
So, the woman's resultant displacement is approximately 8.94 km.