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A boy cycles 120 m north and moves 160 m west. How far is he from the starting point? - Mathematics

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प्रश्न

A boy cycles 120 m north and moves 160 m west. How far is he from the starting point?

विकल्प

  • 250 m

  • 200 m

  • 240 m

  • 300 m

MCQ
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उत्तर

200 m

Explanation:

The boy cycles 120 m north (vertical direction).

Then he cycles 160 m west (horizontal direction).

We have to find how far he is from the starting point.

This forms a right-angled triangle, where

One side = 120 m (north)

Other side = 160 m (west)

The distance from the starting point = hypotenuse

Using Pythagoras theorem:

Distance2 = 1202 + 1602

Distance2 = 14400 + 25600

Distance2 = 40000

Distance = `sqrt(40000)`

Distance = 200 m

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अध्याय 11: Pythagoras Theorem - MULTIPLE CHOICE QUESTIONS [पृष्ठ १२७]

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बी निर्मला शास्त्री Mathematics [English] Class 9 ICSE
अध्याय 11 Pythagoras Theorem
MULTIPLE CHOICE QUESTIONS | Q 9. | पृष्ठ १२७
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