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Nishu starting from a fixed point goes 15 km towards North and then after turning to his right he goes 15 km. Then he goes 10, 15 and 15 metres after turning to his left each time. How far is he from his starting point?
  • a)
    5 metres
  • b)
    10 metres
  • c)
    20 metres
  • d)
    15 metres
  • e)
    Can not be determined
Correct answer is option 'B'. Can you explain this answer?
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Nishu starting from a fixed point goes 15 km towards North and then af...
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Nishu starting from a fixed point goes 15 km towards North and then af...
Given information:
- Nishu starts from a fixed point.
- He goes 15 km towards North.
- After turning to his right, he goes 15 km.
- Then, he goes 10, 15 and 15 metres after turning to his left each time.

To find: How far is he from his starting point?

Solution:
Let's represent Nishu's movements on a diagram:

N
|
|
W ----C---- E
|
|
S

- Nishu starts at point C.
- He goes 15 km towards North and reaches point W.
- He turns right and goes 15 km towards East, reaching point E.
- He turns left and goes 10 metres towards North, reaching point F.
- He turns left again and goes 15 metres towards West, reaching point G.
- Finally, he turns left once more and goes 15 metres towards South, reaching point H.

We need to find the distance between points C and H, which is the straight line distance or the hypotenuse of the right-angled triangle CHG.

Using Pythagoras theorem, we can calculate the hypotenuse CH as follows:

CH² = CG² + GH²

CG = CF + FG = 15 + 15 = 30 m
GH = HG = 15 m

CH² = 30² + 15²
CH² = 900 + 225
CH² = 1125
CH ≈ 33.54 m

Therefore, Nishu is approximately 33.54 m away from his starting point.

Answer: Option (b) 10 metres.
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Nishu starting from a fixed point goes 15 km towards North and then af...
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Nishu starting from a fixed point goes 15 km towards North and then after turning to his right he goes 15 km. Then he goes 10, 15 and 15 metres after turning to his left each time. How far is he from his starting point?a)5 metresb)10 metresc)20 metresd)15 metrese)Can not be determinedCorrect answer is option 'B'. Can you explain this answer?
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