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Two poles of the height 12 m and 17 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
  • a)
    11 m
  • b)
    12 m
  • c)
    13 m
  • d)
    14 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two poles of the height 12 m and 17 m stand vertically upright on a p...
In triangle BDE,
BD2 = BE2 + DE2
= 52 + 122 = 144 + 25 = 169
BD = 13 m
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Most Upvoted Answer
Two poles of the height 12 m and 17 m stand vertically upright on a p...
Given:
Height of the first pole = 12 m
Height of the second pole = 17 m
Distance between their feet = 12 m

To find:
Distance between their tops

Solution:
To solve this problem, we can use the concept of similar triangles.

Let's assume the distance between the tops of the poles is 'x' meters.

Using the concept of similar triangles, we can write the following proportion:

12 / x = 12 / (x + 12)

Cross-multiplying the above proportion, we get:

12(x + 12) = 12x

12x + 144 = 12x

We can see that the 'x' terms cancel out.

This implies that the distance between the tops of the poles, 'x', does not depend on the height of the poles.

Therefore, the distance between the tops of the poles is constant.

So, the distance between the tops of the poles is equal to the distance between their feet, which is 12 m.

Hence, the correct option is (b) 12 m.
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Two poles of the height 12 m and 17 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.a)11 mb)12 mc)13 md)14 mCorrect answer is option 'C'. Can you explain this answer?
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