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Jenny walked 2.5 km towards North and turned towards West. After covering 2 km’s he turned to South and walked 1.5 km’s. He then turned to East and covered 2 km’s. How far is Jenny from original point?
- a)5 km
- b)2.5 km
- c)1.5 km
- d)1 km
Correct answer is option 'D'. Can you explain this answer?
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Jenny walked 2.5 km towards North and turned towards West. After cover...
Towards West, she turned towards South and walked for 3 km. How far is she from her starting point and in which direction?
Jenny walked 2.5 km towards North and then 2 km towards West. This creates a right-angled triangle with the hypotenuse being the distance she has covered so far. Using Pythagoras' theorem, we can find the length of the hypotenuse:
hypotenuse = √(2.5^2 + 2^2) = √(6.25 + 4) = √10.25 km
Now, Jenny has walked 3 km towards South. This creates another right-angled triangle, with the hypotenuse being the distance she has covered in total. We can use Pythagoras' theorem again to find the length of the hypotenuse:
hypotenuse = √(√10.25^2 + 3^2) = √(10.25 + 9) = √19.25 km ≈ 4.38 km
Therefore, Jenny is approximately 4.38 km away from her starting point, and the direction is South-West.
Jenny walked 2.5 km towards North and then 2 km towards West. This creates a right-angled triangle with the hypotenuse being the distance she has covered so far. Using Pythagoras' theorem, we can find the length of the hypotenuse:
hypotenuse = √(2.5^2 + 2^2) = √(6.25 + 4) = √10.25 km
Now, Jenny has walked 3 km towards South. This creates another right-angled triangle, with the hypotenuse being the distance she has covered in total. We can use Pythagoras' theorem again to find the length of the hypotenuse:
hypotenuse = √(√10.25^2 + 3^2) = √(10.25 + 9) = √19.25 km ≈ 4.38 km
Therefore, Jenny is approximately 4.38 km away from her starting point, and the direction is South-West.
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Jenny walked 2.5 km towards North and turned towards West. After cover...
To find out how far Jenny is from her original point, we will break down her journey step by step:
- North: Jenny walks 2.5 km north.
- West: She turns and walks 2 km west.
- South: She turns again and walks 1.5 km south.
- East: Finally, she turns and walks 2 km east.
Now, let's analyze her final position relative to the start:
- North-South movement: Jenny initially walked 2.5 km north, then 1.5 km south, resulting in a net movement of 2.5 − 1.5 = 1.0 km north.
- East-West movement: She walked 2 km west and then 2 km east. This means she ended up exactly where she started in terms of east-west movement, as these cancel each other out.
So, Jenny's final position is 1.0 km north of her starting point. Thus, she is: D: 1 km
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Jenny walked 2.5 km towards North and turned towards West. After covering 2 km’s he turned to South and walked 1.5 km’s. He then turned to East and covered 2 km’s. How far is Jenny from original point?a)5 km b)2.5 kmc)1.5 km d)1 kmCorrect answer is option 'D'. Can you explain this answer?
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