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Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m.
Find the distance between their feet.?
Find the distance between their feet.?
Most Upvoted Answer
Two poles of 8m and 14m stand upright on a plane ground. If the distan...
To find the distance between the feet of two poles, we can use the concept of right-angled triangles and the Pythagorean theorem.
Understanding the Problem
- We have two poles:
- Pole 1: Height = 8m
- Pole 2: Height = 14m
- The distance between the tops of the poles is given as 10m.
Visualizing the Scenario
- Imagine a right triangle formed by:
- The vertical heights of the poles (8m and 14m)
- The horizontal distance (d) between the feet of the poles
- The distance between the tops of the poles (10m) as the hypotenuse
Calculating the Vertical Difference
- The vertical difference between the tops of the poles:
- Height difference = 14m - 8m = 6m
Applying the Pythagorean Theorem
- According to the Pythagorean theorem:
\( \text{hypotenuse}^2 = \text{base}^2 + \text{height}^2 \)
- Here,
- Hypotenuse = 10m
- Height = 6m
- Let the base (distance between the feet) = d
- Plugging in the values:
\( 10^2 = d^2 + 6^2 \)
\( 100 = d^2 + 36 \)
\( d^2 = 100 - 36 \)
\( d^2 = 64 \)
\( d = \sqrt{64} \)
\( d = 8m \)
Conclusion
- The distance between the feet of the two poles is 8 meters.
Understanding the Problem
- We have two poles:
- Pole 1: Height = 8m
- Pole 2: Height = 14m
- The distance between the tops of the poles is given as 10m.
Visualizing the Scenario
- Imagine a right triangle formed by:
- The vertical heights of the poles (8m and 14m)
- The horizontal distance (d) between the feet of the poles
- The distance between the tops of the poles (10m) as the hypotenuse
Calculating the Vertical Difference
- The vertical difference between the tops of the poles:
- Height difference = 14m - 8m = 6m
Applying the Pythagorean Theorem
- According to the Pythagorean theorem:
\( \text{hypotenuse}^2 = \text{base}^2 + \text{height}^2 \)
- Here,
- Hypotenuse = 10m
- Height = 6m
- Let the base (distance between the feet) = d
- Plugging in the values:
\( 10^2 = d^2 + 6^2 \)
\( 100 = d^2 + 36 \)
\( d^2 = 100 - 36 \)
\( d^2 = 64 \)
\( d = \sqrt{64} \)
\( d = 8m \)
Conclusion
- The distance between the feet of the two poles is 8 meters.
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Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.?
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Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.?.
Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.?.
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