Question : Directions: Abhinav started running from his house, he first ran for 12 km towards the west, then turned towards the north and ran 16 km in that direction. How far is Abhinav from his house, and in which direction?
Option 1: 13 km south
Option 2: 13 km North
Option 3: 15 km West
Option 4: 20 km North-West
Correct Answer: 20 km North-West
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we will find the distance between Abhinav's final position and his house.
By applying the Pythagoras theorem –
AC
2
= AB
2
+ BC
2
AC
2
= 12
2
+ 16
2
AC
2
= 144 + 256
AC
2
= 400
AC = 20
So, Abhinav is 20 km far in the North-West direction from his house. Hence, the fourth option is correct.
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