Question

mehak was in a whimsical mood and to reach her home from her office she took the following steps -4 steps towards north ,3 steps towards east,6 steps towards south,6 steps towards west,7 steps towards north,5 steps towards east ,6 steps towards south,4 steps towards west and finally reached home taking three steps towards north.the location of mehak's home with respect to her office is

Answer 1

2√2 steps in north west direction
hope ans is helpful

Answer 2

Answer: The location of mehak's home with respect to her office is 2√2 north west.

Step-by-step explanation:

Let the position of mehak's home can be represent by H and the position of mehak's office can be represented by O,

Then by the below diagram,

The distance between point H and O

$= \sqrt{ 2^2+2^2}$

$=\sqrt{4+4}$

$=\sqrt{8}=2\sqrt{2}\text{ steps}$

Also the direction of home from the home = North west,

Thus, The location of mehak's home with respect to her office is 2√2 north west.