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A person starts from his home and travels 20 m towards east. He turns right and travels 15 m. From there, he again travels 20 m towards west. Again, he turns to his left and travels 12 m towards south. How far is he from his starting point?
- a)25 m
- b)15 m
- c)29 m
- d)27 m
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A person starts from his home and travels 20 m towards east. He turns...
Let the person start from point A and travel 20 m towards east. From there, he turns towards south and travels 15 m. He again turns towards west and travels 20 m. Finally, he turns towards south and travels 12 m.
His distance from starting point (AE) = Vertical distance BC + Vertical distance DE
= 15 m + 12 m = 27 m
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Community Answer
A person starts from his home and travels 20 m towards east. He turns...
Steps to Solve the Problem:
Step 1: Initial Movement
- The person starts from home and travels 20m towards the east.
Step 2: Second Movement
- He turns right and travels 15m.
Step 3: Third Movement
- Then, he travels 20m towards the west.
Step 4: Final Movement
- Finally, he turns left and travels 12m towards the south.
Calculating the Distance from the Starting Point:
- To find out how far he is from his starting point, we need to calculate the total distance he has traveled in each direction.
- Distance traveled towards the east = 20m
- Distance traveled towards the west = 20m
- Net distance travelled towards the east = 20m - 20m = 0m
- Net distance travelled towards the north = 15m - 12m = 3m
- Using Pythagoras theorem, we can calculate the distance from the starting point:
- Distance = √(0^2 + 3^2) = √(0 + 9) = √9 = 3m
Therefore, the person is 3m away from his starting point. The correct option is:
c) 3m
Step 1: Initial Movement
- The person starts from home and travels 20m towards the east.
Step 2: Second Movement
- He turns right and travels 15m.
Step 3: Third Movement
- Then, he travels 20m towards the west.
Step 4: Final Movement
- Finally, he turns left and travels 12m towards the south.
Calculating the Distance from the Starting Point:
- To find out how far he is from his starting point, we need to calculate the total distance he has traveled in each direction.
- Distance traveled towards the east = 20m
- Distance traveled towards the west = 20m
- Net distance travelled towards the east = 20m - 20m = 0m
- Net distance travelled towards the north = 15m - 12m = 3m
- Using Pythagoras theorem, we can calculate the distance from the starting point:
- Distance = √(0^2 + 3^2) = √(0 + 9) = √9 = 3m
Therefore, the person is 3m away from his starting point. The correct option is:
c) 3m
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