Answer:
Displacement is a straight line from the starting point to the finish point \(6\sqrt{2}\) blocks in North-West direction.
Step-by-step explanation:
The figure below shows the movement of person and standard direction taken.
AB represents the movement of person 6 blocks towards north and BC represents the movement of person 6 blocks towards west. A to C defines the distance traveled by the person.
Displacement is defined as the shortest distance covered between two points.
Here, displacement is the distance between point A and C.
Since, angle at B is right angle So, ΔABC is a right angled triangle.
Pythagoras theorem states that in a right angled triangle sum of square of base and perpendicular is equal to the square of hypotenuse.
Applying Pythagoras theorem in ΔABC, we get
\((AC)^2=(AB)^2+(BC)^2\)
\((AC)^2=(6)^2+(6)^2\)
\((AC)^2=36+36\)
\(AC=\sqrt{72}\)
\(AC=6\sqrt{2}\)
Thus, displacement is a straight line from the starting point to the finish point \(6\sqrt{2}\) blocks in North-West direction.
