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Two poles of heights $6$ m and $11$ m stand vertically on a plane ground. If the distance between their feet is $12$ m, find the distance between their tips.

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13

15

14

none of the above

answer is A.

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Detailed Solution

It is given that two poles have heights

6

m and

11

m stand vertically on the ground. The distance between their feet is

12

m.
According to the given data the figure has been drawn below.
Question Image

From the given figure, the distance between the tips of the poles forms a right angled triangle with

5

m and

12 m

as sides and hypotenuse AC.
Pythagoras theorem for right triangle,

{Hypotenuse}^{2} = (Sid e_{1})^{2} + (Sid e_{2})^{2}

.
So, required distance

AC = \sqrt{5^{2} + 12^{2}}

\Rightarrow \sqrt{25 + 144}

\Rightarrow \sqrt{169}

\Rightarrow AC = 13

m
So the distance between their tips is 13m.
So the correct option is 1.

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