Question

Nishant walked 8km towards the north then she turns towards her right and walked another 4km from there she goes towards the south direction of 8km. what is the shortest between her and the ending point?​

Answer 1

Answer:

The shortest between her and the ending point is 4 k.m.

Step-by-step explanation:

Nishant walked 8km towards the north.

She turns towards her right and walked another 4km

From there she goes towards the south direction of 8km.

Net direction along north direction=0

Net direction along east=4 km

SO net shortest distance is 4 k.m. along east

Answer 2

Given:

Nishant walked 8km towards the north then she turns towards her right and walked another 4km from there she goes towards the south direction of 8km.

To Find:

what is the shortest between her and the ending point?​

Solution:

Let the initial coordinate be the origin and equal to (0,0),

now when she walked 8km towards the north it means that she moved +8 units in the y-axis, so the new coordinate will be (0,8).

now she turns right and walks another 4 km it means she moved +4 units in the x-axis, so the new coordinate will be (4,8)

now she moves towards the south direction for 8km it means she moved -8 units in the y axis, so the new coordinate will be (4,0)

To find the shortest distance between (0,0) and (4,0) we will use the distance formula, which is,

$D=\sqrt{4^2+0^2}\\=4km$

Hence, the shortest distance is 4km.