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. - Mathematics

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Sum

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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Solution

The diagram of the given problem is given below,

We have Pythagoras theorem which states that in a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the remaining two sides.
Here, 11 - 6 = 5m            ...( Since DC is perpendicular to BC )
base = 12 cm

Applying Pythagoras theorem we get,
hypotenuse2 = 52 + 122
h2 = 25 + 144
h2 = 169
h = 13

Therefore, the distance between the tips will be 13m.

  Is there an error in this question or solution?
Chapter 13: Pythagoras Theorem [Proof and Simple Applications with Converse] - Exercise 13 (A) [Page 159]

APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 13 Pythagoras Theorem [Proof and Simple Applications with Converse]
Exercise 13 (A) | Q 9 | Page 159

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