Answer
453k+ views
Hint: In this question first draw the diagram it will give us a clear picture of what we have to find out, later on use the concept of Pythagoras Theorem to find out the solution of the question.
Complete step-by-step answer:
The pictorial representation of the given problem is shown above.
Let AC and DE are two vertical poles of length 36 and 28 meter respectively.
It is given that the shortest distance between their tops is 17 meter.
$ \Rightarrow AD = 17$ Meter (see figure).
Now we have to find out how far the vertical poles are apart.
Therefore we have to find out the value of BD (see figure)
Now in triangle ABD apply Pythagoras Theorem we have,
${\left( {{\text{Hypotenuse}}} \right)^2} = {\left( {{\text{Base}}} \right)^2} + {\left( {{\text{Perpendicular}}} \right)^2}$
$ \Rightarrow {\left( {AD} \right)^2} = {\left( {BD} \right)^2} + {\left( {AB} \right)^2}$…………….. (1)
So, first calculate the distance AB.
As we see from figure AB is equal to the difference of the vertical poles length.
$
\Rightarrow AB = AC - DE \\
\Rightarrow AB = 36 - 28 \\
$
$ \Rightarrow AB = 8$ meter.
Now from equation (1) we have
$
\Rightarrow {\left( {17} \right)^2} = {\left( {BD} \right)^2} + {\left( 8 \right)^2} \\
\Rightarrow {\left( {BD} \right)^2} = 289 - 64 = 225 \\
$
$ \Rightarrow BD = \sqrt {225} = 15$ Meter.
So, the vertical poles are 15 meter apart.
So, this is the required answer.
Note: In such types of questions first draw the pictorial representation of the given problem as above, then first calculate the value of AB (see figure) by simply subtracting the length of vertical poles then apply the property of Pythagoras Theorem which is stated above and simplify, we will get the required distance between the poles (i.e. how far the vertical poles are apart).
Complete step-by-step answer:
![seo images](https://www.vedantu.com/question-sets/624c3763-c50b-4516-98d6-4b47e29df4848915594300632737034.png)
The pictorial representation of the given problem is shown above.
Let AC and DE are two vertical poles of length 36 and 28 meter respectively.
It is given that the shortest distance between their tops is 17 meter.
$ \Rightarrow AD = 17$ Meter (see figure).
Now we have to find out how far the vertical poles are apart.
Therefore we have to find out the value of BD (see figure)
Now in triangle ABD apply Pythagoras Theorem we have,
${\left( {{\text{Hypotenuse}}} \right)^2} = {\left( {{\text{Base}}} \right)^2} + {\left( {{\text{Perpendicular}}} \right)^2}$
$ \Rightarrow {\left( {AD} \right)^2} = {\left( {BD} \right)^2} + {\left( {AB} \right)^2}$…………….. (1)
So, first calculate the distance AB.
As we see from figure AB is equal to the difference of the vertical poles length.
$
\Rightarrow AB = AC - DE \\
\Rightarrow AB = 36 - 28 \\
$
$ \Rightarrow AB = 8$ meter.
Now from equation (1) we have
$
\Rightarrow {\left( {17} \right)^2} = {\left( {BD} \right)^2} + {\left( 8 \right)^2} \\
\Rightarrow {\left( {BD} \right)^2} = 289 - 64 = 225 \\
$
$ \Rightarrow BD = \sqrt {225} = 15$ Meter.
So, the vertical poles are 15 meter apart.
So, this is the required answer.
Note: In such types of questions first draw the pictorial representation of the given problem as above, then first calculate the value of AB (see figure) by simply subtracting the length of vertical poles then apply the property of Pythagoras Theorem which is stated above and simplify, we will get the required distance between the poles (i.e. how far the vertical poles are apart).
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)