Question : Directions: Rahul travels 10 km towards the East, then he takes a left turn and travels 3 km. He then takes the right turn and travels 5 km, he again takes the right turn and travels 8 km and finally takes the right turn one more time and travels 3 km. How far is he from his starting point and in which direction?
Option 1: 12 km towards South-East
Option 2: 13 km towards North-West
Option 3: 12 km towards North-West
Option 4: 13 km towards South-East
Correct Answer: 13 km towards South-East
Solution : Firstly, we will draw the diagram as per the given instructions –
From the above diagram, it is clear that Rahul is in the South-East direction from his starting point.
For the shortest distance (AB) between the starting point and the endpoint, use Pythagoras theorem, ⇒ (AC) 2 + (BC) 2 = (AB) 2 ⇒ (12) 2 + (5) 2 = (AB) 2 ⇒ 144 + 25 = (AB) 2 ⇒ (AB) 2 = 169 ⇒ AB = 13 km
Thus, Rahul is towards the South-East direction and 13 km away from the starting point. Hence, the fourth option is correct.
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