Question

Jeni walks 100 meters east and then 50 meters north. How big is Jeni's displacement from the starting point?

Answer 1

Answer : Jeni's displacement from the starting point is, 111.8 meter.

Step-by-step explanation :

To calculate the Jeni's displacement from the starting point we are using Pythagoras theorem in ΔABC :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(AC)^2=(AB)^2+(BC)^2$

Given:

Side AB = 100 m

Side BC = 50 m

Now put all the values in the above expression, we get the value of side AC.

$(AC)^2=(AB)^2+(BC)^2$

$(AC)^2=(100)^2+(50)^2$

$AC=\sqrt{(100)^2+(50)^2}$

$AC=111.8m$

Thus, the Jeni's displacement from the starting point is, 111.8 meter.