Question

A boy travels 10m north and then 7m east. Find the displacement

Answer 1

Answer:

Step-by-step explanation:10square +7square=x^2

100+49=x^2,149=x^2, x=square root 149

Answer 2

Q. A boy travel 10m North and then 7 m east. Find displacement travelled by boy.

Answer :-

$\sqrt{149m}$

Solution:-

From Attachment It is clear that the figure formed is right angle. And displacement is given by its hypotenuse.

AB = 10 m North

BC = 7 m east

AC = displacement

Now, In $\triangle {ABC} \angle {B} = 90°$

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

(by using Pythagoras theorem)

$10^2 + 7^2 = AC^2$

$100 + 49 =AC^2$

$149 = AC^2$

$AC =\sqrt{149}m$

hence, displacement covered by boy = $\sqrt{149m}$