Rahul walked 4 m east from his home. Then he turned right and walked 2 m and turned left and walked 3 m. Again, he turned left and walked 4 m and turned right and walked 3 m to reach the shop. From the shop, he walked 8 m south and turned right and walked 10 m. Finally, he turned left and walked 3 m to reach the restaurant.What is the direction of the restaurant from his home?
Answers
Answer:
In conclusion he is facing South
Given :- Rahul walked from his home and went to shop . from he goes to a restaurant .
To Find :- Using given directions what hat is the direction of the restaurant from his home ?
Solution :-
from image let rahul home is a point A . So,
- From point A he goes 4 m east and reached at point B .
- From point B he turned right towards south and goes 2 m and reached at point C .
- From point C he turned left towards east and goes 3 m and reached at point D .
- From point D he turned left towards north and goes 4 m and reached at point E .
- From point E he turned right towards east and goes 3 m to reach the shop at point F .
- From point F he moved 8 m towards south and reached at point G .
- From point G he turned left towards west and goes 10 m and reached at point H .
- From point H he turned left towards south and goes 3 m to reach the restaurant .
as we can see that,
→ AB + CD + EF = GH
→ 4 + 3 + 3 = 10
→ 10 = 10
therefore, we can conclude that, Points A(Home) , H and Restaurant are on a straight line .
Hence, the direction of the restaurant from his home is South .
∴ South is correct answer .
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