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One day, Amit left home and cycled 15 km southwards, turned right and cycled 7 km and turned right andcycled 10 km and turned left and cycled 5 km. How many kilometers will he have to cycle to reach his home?
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Solution
Given:
- Amit cycled 15 km south.
- Then turned right (west) and cycled 7 km.
- Turned right again (north) and cycled 10 km.
- Finally, turned left (west) and cycled 5 km.
Calculation:
Vertical displacement: \( 15 - 10 = 5 \, \text{km (south)} \)
Horizontal displacement: \( 7 + 5 = 12 \, \text{km (west)} \)
Using Pythagoras theorem:
Distance = √(5² + 12²) = √(25 + 144) = √169 = 13 \, \text{km}
Answer:
Amit needs to cycle 13 km to return home.
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