Answer:
Displacement = 2.83km
Explanation:
Given
[tex]South = 1.5km[/tex]
[tex]East = 2.4km[/tex]
Required
Determine the displacement
See attachment for proper representation of the cat's movement.
The displacement is represented by the slanted line and it is calculated as follows:
[tex]D\² = S\² + E\²[/tex]
[tex]D^2 = 1.5\² + 2.4\²[/tex]
[tex]D\² = 2.25 + 5.76[/tex]
[tex]D\² = 8.01[/tex]
[tex]D = \sqrt{8.01}[/tex]
[tex]D = 2.83019434[/tex]
D = 2.83 km (approximated)
