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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