Height of a pole is 8 m. Find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.
Solution:
Given, the height of a pole is 8 m.
We have to find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.
The height of the pole, AB = 8 m
Distance between the bottom of pole and a point on the ground, BC = 6 m
The length of the rope tied to its top from a point on the ground, AC = x m
We observe that ABC forms a right angled triangle.
AC² = AB² + BC²
AC² = 8² + 6²
AC² = 64 + 36
AC² = 100
Taking square root,
AC = 10 m
Therefore, the required distance is 10 m.
✦ Try This: Height of a pole is 12 m. Find the length of rope tied with its top from a point on the ground at a distance of 7 m from its bottom.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 139
Height of a pole is 8 m. Find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.
Summary:
Height of a pole is 8 m. The length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom is 10 m.
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