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# Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, find the distance between their feet.

**Solution:**

Given, two poles 10 m and 15 m stand upright on a plane ground.

The distance between the tops is 13 m

We have to find the distance between their feet.

Let the pole BE = 10 m

Let the pole AD = 15 m

Distance between the tops of BE and AD, i.e., AB = 13 m

We have to find the distance between their feet.

Let the distance between their feet be BC

In __right angled triangle__ ABC,

AB² = AC² + BC²

13² = 5² + BC²

BC² = 169 - 25

BC² = 144

Taking __square root__,

BC = 12 m

Therefore, the distance between their feet is 12 m.

**✦ Try This: **Two poles of 15 m and 25 m stand upright on a plane ground. If the distance between the tops is 10 m, find the distance between their feet.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 6

**NCERT Exemplar Class 7 Maths Chapter 6 Problem 156**

## Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, find the distance between their feet.

**Summary:**

Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, the distance between their feet is 12 m.

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