From a certain point, Swati walks 70 m towards the south. Then, she turns to her right and starts walking straight for another 70 m. Then, again turning to her left she walks for 60 m. She then turns to her left and walks for 70 m. How far is she from the starting point?
Answers
Step-by-step explanation:
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- She is 130m far from the starting point .
Given :- From a certain point, Swati walks 70 m towards the south. Then, she turns to her right and starts walking straight for another 70 m. Then, again turning to her left she walks for 60 m. She then turns to her left and walks for 70 m.
To Find :-
- How far is she from the starting point ?
Solution :- ( Refer to image. )
Let us assume that, swati starts from point A .
Case 1) :-
- Starting point = A
- Form point A she walks 70 m towards south and reach at point B .
- AB = 70 m
Case 2) :-
- From point B she turns to her right in west direction and walks for another 70 m and reach at point C .
- BC = 70 m
Case 3) :-
- From point C she turns to her left in south direction and walks for another 60 m and reach at point D .
- CD = 60 m
Case 4) :-
- From point D she turns to her left in east direction and walks for another 70 m and reach at point D .
- DE = 70 m .
- E = End point .
So,
→ BE = CD
→ BE = 60 m
then,
→ AE = AB + BE
→ AE = 70 + 60
→ AE = 130 m (Ans.)
Hence, she is 130m far from the starting point .
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