Raju walks 80m towards south.Then ,turns to his right and starts walking straight till he completes another 80 ms.Then again turning to his left he walks for 60 metres.He then turns to his left and walks for 80 metres.How far is he from his initial position?
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Answer:
from initial position Raju is 140m away
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- Raju is 140 m far from his initial position .
Given :-
- Raju walks 80m towards south.
- Then ,turns to his right and walks 80 m .
- Then again turning to his left he walks for 60 m .
- He then turns to his left and walks for 80 m .
To Find :-
- How far is he from his initial position ?
Solution :- (Refer to image)
Let us assume that Raju starts from point A . So point A is the initial point .
Step 1) :-
- From point he walks 80 m towards south and say he reach at point B .
- AB = 80 m .
Step 2) :-
- From point B he turns to his right in west direction and walks for 80m and reach at point C .
- BC = 80 m .
Step 3) :-
- From point C he turns to his left in south direction and walks for 60m and reach at point D .
- CD = 60 m .
Step 4) :-
- From point D he turns to his left in east direction and walks for 80m and reach at point E .
- DE = 80 m .
- E = Final point .
from image we can see that,
→ CD = BE { As CB is equal to DE }
→ BE = 60 m
therefore,
→ AE = AB + BE
→ AE = 80 + 60
→ AE = 140 m (Ans.)
Hence, Raju is 140 m far from his initial position .
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