Question : Directions: Anita starts from her house and cycles 6 km towards the south and then turns left and cycles 8 km. She again turns left and cycles for X km to reach her school. Point A is to the west of her school and also 3 km to the north of her house. What is the value of X?
Option 1: 9 km
Option 2: 3 km
Option 3: 7 km
Option 4: 11 km
Correct Answer: 9 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, B is the starting point (Anita's house) and E is the endpoint (Anita's school).
AB = 3 km; BC = 6 km; CD = 8 km; DE = X km
As, DE = AC
AC = AB + BC = 3 + 6 = 9
So, DE = AC = 9 km
Thus, the value of X is 9 km. Hence, the first option is correct.
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