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About starts from his house and travels 10 km towards north and turns left and travels 24 km to reach his office. How far his Ankur's office from his house?
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About starts from his house and travels 10 km towards north and turns ...
Understanding the Journey
Ankur starts his journey from his house and travels in two distinct directions. Let's break down the path he takes to determine how far his office is from his house.
Step 1: Initial Direction
- Ankur travels 10 km North from his house.
- This movement establishes a vertical distance from his starting point.
Step 2: Change of Direction
- After reaching the 10 km mark, he turns left.
- When facing North, turning left means he is now facing West.
- He then travels 24 km West.
Visual Representation
- If we visualize Ankur's movement:
- From his house, moving 10 km upwards (North).
- From that point, moving 24 km to the left (West).
Using the Pythagorean Theorem
To find the direct distance from Ankur's house to his office, we can use the Pythagorean theorem.
- Ankur's movements create a right triangle where:
- One leg (North direction) = 10 km
- The other leg (West direction) = 24 km
- The formula is:
\[
c = \sqrt{a^2 + b^2}
\]
Where:
- \( a = 10 \, \text{km} \)
- \( b = 24 \, \text{km} \)
Calculating the Distance
- Plugging in the values:
\[
c = \sqrt{10^2 + 24^2} = \sqrt{100 + 576} = \sqrt{676} = 26 \, \text{km}
\]
Conclusion
- Ankur's office is 26 km away from his house. This distance is the straight-line distance between his starting point and his destination.
Ankur starts his journey from his house and travels in two distinct directions. Let's break down the path he takes to determine how far his office is from his house.
Step 1: Initial Direction
- Ankur travels 10 km North from his house.
- This movement establishes a vertical distance from his starting point.
Step 2: Change of Direction
- After reaching the 10 km mark, he turns left.
- When facing North, turning left means he is now facing West.
- He then travels 24 km West.
Visual Representation
- If we visualize Ankur's movement:
- From his house, moving 10 km upwards (North).
- From that point, moving 24 km to the left (West).
Using the Pythagorean Theorem
To find the direct distance from Ankur's house to his office, we can use the Pythagorean theorem.
- Ankur's movements create a right triangle where:
- One leg (North direction) = 10 km
- The other leg (West direction) = 24 km
- The formula is:
\[
c = \sqrt{a^2 + b^2}
\]
Where:
- \( a = 10 \, \text{km} \)
- \( b = 24 \, \text{km} \)
Calculating the Distance
- Plugging in the values:
\[
c = \sqrt{10^2 + 24^2} = \sqrt{100 + 576} = \sqrt{676} = 26 \, \text{km}
\]
Conclusion
- Ankur's office is 26 km away from his house. This distance is the straight-line distance between his starting point and his destination.
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About starts from his house and travels 10 km towards north and turns left and travels 24 km to reach his office. How far his Ankur's office from his house?
Question Description
About starts from his house and travels 10 km towards north and turns left and travels 24 km to reach his office. How far his Ankur's office from his house? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about About starts from his house and travels 10 km towards north and turns left and travels 24 km to reach his office. How far his Ankur's office from his house? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for About starts from his house and travels 10 km towards north and turns left and travels 24 km to reach his office. How far his Ankur's office from his house?.
About starts from his house and travels 10 km towards north and turns left and travels 24 km to reach his office. How far his Ankur's office from his house? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about About starts from his house and travels 10 km towards north and turns left and travels 24 km to reach his office. How far his Ankur's office from his house? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for About starts from his house and travels 10 km towards north and turns left and travels 24 km to reach his office. How far his Ankur's office from his house?.
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