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Ram walks 1Km in the east direction,then he covers √18km in the North east direction.how far is Ram from his initial position?
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Ram walks 1Km in the east direction,then he covers √18km in the North ...
Problem Statement: Ram walks 1Km in the east direction, then he covers √18km in the North east direction. How far is Ram from his initial position?
Solution:
To solve this problem, we will use the Pythagorean theorem and trigonometry concepts.
Step 1: Draw a diagram to visualize the problem.
Step 2: Calculate the distance covered by Ram in the North direction.
Using trigonometry, we can calculate the distance covered by Ram in the North direction as follows:
sin(45°) = opposite/hypotenuse
=> opposite = sin(45°) x hypotenuse
=> opposite = 1/√2 x √18
=> opposite = √2 x √2 x √2
=> opposite = 2√2
Therefore, Ram covered a distance of 2√2 km in the North direction.
Step 3: Calculate the total distance covered by Ram.
Using the Pythagorean theorem, we can calculate the total distance covered by Ram as follows:
Total distance = √(1² + (2√2)²)
=> Total distance = √(1 + 8)
=> Total distance = √9
=> Total distance = 3 km
Therefore, Ram is 3 km far from his initial position.
Conclusion: Ram is 3 km far from his initial position after walking 1 km in the east direction and √18 km in the North east direction.
Solution:
To solve this problem, we will use the Pythagorean theorem and trigonometry concepts.
Step 1: Draw a diagram to visualize the problem.
Step 2: Calculate the distance covered by Ram in the North direction.
Using trigonometry, we can calculate the distance covered by Ram in the North direction as follows:
sin(45°) = opposite/hypotenuse
=> opposite = sin(45°) x hypotenuse
=> opposite = 1/√2 x √18
=> opposite = √2 x √2 x √2
=> opposite = 2√2
Therefore, Ram covered a distance of 2√2 km in the North direction.
Step 3: Calculate the total distance covered by Ram.
Using the Pythagorean theorem, we can calculate the total distance covered by Ram as follows:
Total distance = √(1² + (2√2)²)
=> Total distance = √(1 + 8)
=> Total distance = √9
=> Total distance = 3 km
Therefore, Ram is 3 km far from his initial position.
Conclusion: Ram is 3 km far from his initial position after walking 1 km in the east direction and √18 km in the North east direction.
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Ram walks 1Km in the east direction,then he covers √18km in the North east direction.how far is Ram from his initial position?
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Ram walks 1Km in the east direction,then he covers √18km in the North east direction.how far is Ram from his initial position? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ram walks 1Km in the east direction,then he covers √18km in the North east direction.how far is Ram from his initial position? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram walks 1Km in the east direction,then he covers √18km in the North east direction.how far is Ram from his initial position?.
Ram walks 1Km in the east direction,then he covers √18km in the North east direction.how far is Ram from his initial position? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ram walks 1Km in the east direction,then he covers √18km in the North east direction.how far is Ram from his initial position? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram walks 1Km in the east direction,then he covers √18km in the North east direction.how far is Ram from his initial position?.
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