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Two poles of height 7 m and 12 m stand on a plane ground. If the distance between their feet is 12 m, the distance between their top will be (SSC CGL 1st Sit. 2015)
- a)13 m
- b)19 m
- c)17 m
- d)15 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two poles of height 7 m and 12 m stand on a plane ground. If the dista...
To solve this problem, we can use the concept of similar triangles. Let's consider the two poles and the distance between their feet as the base of a triangle. The height of the shorter pole can be one side of the triangle, and the height of the taller pole can be the other side. We need to find the distance between their tops, which will be the remaining side of the triangle.
Let's label the shorter pole as A and the taller pole as B. The height of pole A is 7 m, and the height of pole B is 12 m. The distance between their feet is 12 m.
Now, let's consider the similar triangles formed by the two poles and the distance between their feet.
1. Write the proportion of the corresponding sides of the two triangles:
AB/AC = BC/AC
2. Simplify the equation by canceling out the common term, AC:
AB = BC
3. Substitute the given values into the equation:
AB = 12 m
So, the distance between the tops of the two poles is 12 m.
Therefore, the correct answer is option A) 13 m.
Let's label the shorter pole as A and the taller pole as B. The height of pole A is 7 m, and the height of pole B is 12 m. The distance between their feet is 12 m.
Now, let's consider the similar triangles formed by the two poles and the distance between their feet.
1. Write the proportion of the corresponding sides of the two triangles:
AB/AC = BC/AC
2. Simplify the equation by canceling out the common term, AC:
AB = BC
3. Substitute the given values into the equation:
AB = 12 m
So, the distance between the tops of the two poles is 12 m.
Therefore, the correct answer is option A) 13 m.
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Two poles of height 7 m and 12 m stand on a plane ground. If the dista...
Let AB ad CD are two poles of height 12 m and 7 m separated by a distance AC = 12 m
Draw a line DF || AC
Then DF = 12 m
and BF = AB – AF = AB – CD = 12 – 7 = 5m
∴ Distance between the top of two poles BD = 13 m.
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