Ganesh cycles towards South-West a distance of 8m, then he moves towards East a distance of 20m. From there he moves towards North-East a distance of 8m, then he moves towards West a distance of 6m. From there he moves towards North-East a distance of 2m. Then he moves towards West a distance of 4 m and then towards South-West 2m and stops at that point. How fat is he from the starting point?a)12mb)10mc)8md)6mCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

From diagram

distance from starting point

(=20−10) (=10m.)

Hence the option B is correct.

Answer

Given information:
- Ganesh cycles towards South-West a distance of 8m
- He moves towards East a distance of 20m from there
- He moves towards North-East a distance of 8m
- Then he moves towards West a distance of 6m
- From there he moves towards North-East a distance of 2m
- Then he moves towards West a distance of 4 m
- He moves towards South-West 2m

To find:
- How far is he from the starting point?

Solution:
Let's assume Ganesh started at point O.

Step 1: Ganesh cycles towards South-West a distance of 8m
- He moves 8m towards the South-West direction from point O and reaches point A.

Step 2: He moves towards East a distance of 20m from point A
- He moves 20m towards the East direction from point A and reaches point B.

Step 3: He moves towards North-East a distance of 8m from point B
- He moves 8m towards the North-East direction from point B and reaches point C.

Step 4: Then he moves towards West a distance of 6m from point C
- He moves 6m towards the West direction from point C and reaches point D.

Step 5: From there he moves towards North-East a distance of 2m from point D
- He moves 2m towards the North-East direction from point D and reaches point E.

Step 6: Then he moves towards West a distance of 4 m from point E
- He moves 4m towards the West direction from point E and reaches point F.

Step 7: He moves towards South-West 2m from point F
- He moves 2m towards the South-West direction from point F and reaches point G.

Final step: Calculate the distance between point G and the starting point O
- We can calculate the distance between two points using the Pythagorean theorem.
- In this case, the horizontal and vertical distances between point G and point O form a right-angled triangle.
- The horizontal distance is 8m + 20m - 6m - 4m = 18m (positive direction towards the East is considered as +ve and towards the West as -ve)
- The vertical distance is 8m + 2m - 2m = 8m (positive direction towards the North is considered as +ve and towards the South as -ve)
- So, the distance between point G and point O is √(18² + 8²) = √364 = 19.06m (approx)

Therefore, Ganesh is approximately 19.06m away from the starting point O.

Answer: Option (B) 10m

Answer

From diagram

distance from starting point

(=20−10) (=10m.)

Hence the option B is correct.

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