Rahul walks 30 metres towards south. Then turns to his right and starts walking straight till he completes another 30 metres. Then again turning to his left he walks for 20 metres. He then turns to his left and walks for 30 metres. How far is he from his initial position?
50 metres
To determine how far Rahul is from his initial position, let's break down his movements and calculate the distances accordingly:
Initial Position to Point A: Rahul walks 30 metres south.
Point A to Point B: He turns right (west) and walks 30 metres.
Point B to Point C: He turns left (south) and walks 20 metres.
Point C to Point D: Finally, he turns left (east) and walks another 30 metres.
We need to calculate the straight-line (shortest path) distance from the initial position to point D.
Rahul's movements form an L-shape: He moves 30 metres south and then 20 metres further south after moving horizontally, making his total southwards movement 50 metres. He also moves 30 metres west and then back east for 30 metres, resulting in no net horizontal displacement. Thus, his total displacement is only due to moving southwards 50 metres.
The correct answer is 50 metres.
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