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An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.
- a)21 metres
- b)30 metres
- c)25 metres
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
An electric pole, 14 metres high, casts a shadow of 10 metres. Find th...
Direct Variation:
x = 14 x 15 devided by 10
= 21m
The height of the tree is 21 m
Most Upvoted Answer
An electric pole, 14 metres high, casts a shadow of 10 metres. Find th...
Understanding the Problem
To determine the height of the tree based on the lengths of the shadows, we can use the principle of similar triangles. When two objects cast shadows under similar conditions (same light source), the ratios of their heights to their shadow lengths remain constant.
Given Data
- Height of the electric pole = 14 metres
- Length of the electric pole's shadow = 10 metres
- Length of the tree's shadow = 15 metres
Setting Up the Proportion
Using the information from the electric pole, we can set up the following ratio:
- Height of the pole / Length of the pole's shadow = Height of the tree / Length of the tree's shadow
This gives us the equation:
14 metres / 10 metres = Height of the tree / 15 metres
Cross-Multiplying
To find the height of the tree, we can cross-multiply:
14 metres * 15 metres = Height of the tree * 10 metres
Calculating the Height of the Tree
Now, perform the multiplication:
- 14 * 15 = 210
Next, we divide by 10 to isolate the height of the tree:
Height of the tree = 210 metres / 10 = 21 metres
Conclusion
Thus, the height of the tree that casts a shadow of 15 metres is 21 metres. Hence, the correct answer is option 'A'.
To determine the height of the tree based on the lengths of the shadows, we can use the principle of similar triangles. When two objects cast shadows under similar conditions (same light source), the ratios of their heights to their shadow lengths remain constant.
Given Data
- Height of the electric pole = 14 metres
- Length of the electric pole's shadow = 10 metres
- Length of the tree's shadow = 15 metres
Setting Up the Proportion
Using the information from the electric pole, we can set up the following ratio:
- Height of the pole / Length of the pole's shadow = Height of the tree / Length of the tree's shadow
This gives us the equation:
14 metres / 10 metres = Height of the tree / 15 metres
Cross-Multiplying
To find the height of the tree, we can cross-multiply:
14 metres * 15 metres = Height of the tree * 10 metres
Calculating the Height of the Tree
Now, perform the multiplication:
- 14 * 15 = 210
Next, we divide by 10 to isolate the height of the tree:
Height of the tree = 210 metres / 10 = 21 metres
Conclusion
Thus, the height of the tree that casts a shadow of 15 metres is 21 metres. Hence, the correct answer is option 'A'.
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An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.a)21 metresb)30 metresc)25 metresd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.a)21 metresb)30 metresc)25 metresd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.a)21 metresb)30 metresc)25 metresd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.a)21 metresb)30 metresc)25 metresd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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