Question : Directions: Sunita travels 6 km towards the northeast. Then travels 9 km towards the west. From there, she goes 6 km southwest and finally goes 3 km east. How far is she from her initial position?
Option 1: 3 km
Option 2: 6 km
Option 3: 9 km
Option 4: 12 km
Correct Answer: 6 km
Solution :
Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the distance between starting and endpoints.
In the given figure, A is the starting point and E is the finishing point. So, AE
is the distance from the starting point.
Here, DE = 3 km, AB = CD = 6 km and AD = BC = 9 km
Now, AE = AD – DE
AE = 9 – 3
AE = 6 km
So, the distance from the starting point to the endpoint is 6 km. Hence, the second option is correct.
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