The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, to what height does its top reach?
Solution:
Given, the foot of a ladder is 6 m away from its wall.
The top of the ladder reaches a window 8 m above the ground.
We have to find the height the top of the ladder will reach, if the ladder is shifted in such a way that its foot is 8 m away from the wall.
According to the question,
Distance between the top of ladder to the ground, AC = 10 m
Distance between foot of the ladder to the bottom of wall, BC = 8 m
In right angled triangle ABC,
AC² = AB² + BC²
10² = AB² + 8²
AB² = 100 - 64
AB² = 36
Taking square root,
AB = 6 m
Therefore, the height of the top is 6m.
✦ Try This: The foot of a ladder is 8 m away from its wall and its top reaches a window 11 m above the ground. If the ladder is shifted in such a way that its foot is 10 m away from the wall, to what height does its top reach?
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 157 (b)
The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, to what height does its top reach
Summary:
The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, the height its top reaches is 6 m.
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