# Two poles of height 9 m and 14 m stand on a plane ground.

Question:

Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Solution:

Let us draw the diagram from the given information.

As we are given that distance between their feet is 12 m

$\therefore D C=12$.

Now we get a right angled triangle DCE.

Let us applying the Pythagoras theorem we get,

$D E^{2}=D C^{2}+E C^{2}$

Substituting the values we get,

$D E^{2}=12^{2}+5^{2}$

$D E^{2}=144+25$

$\therefore D E^{2}=169$

Let us take the square root we get,

$\therefore D E=13$

Therefore, distance between their top is 13m.
The passage contains a mathematical word problem involving the calculation of the distance between the tops of two poles, and it provides a detailed solution to the problem.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Two poles of height 9 m and 14 m stand on a plane ground.

Question:

Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Solution:

Let us draw the diagram from the given information.

As we are given that distance between their feet is 12 m

$\therefore D C=12$.

Now we get a right angled triangle DCE.

Let us applying the Pythagoras theorem we get,

$D E^{2}=D C^{2}+E C^{2}$

Substituting the values we get,

$D E^{2}=12^{2}+5^{2}$

$D E^{2}=144+25$

$\therefore D E^{2}=169$

Let us take the square root we get,

$\therefore D E=13$

Therefore, distance between their top is 13m.
user
The passage contains a mathematical word problem involving the calculation of the distance between the tops of two poles, and it provides a detailed solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER