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If a 12-meter long ladder reaches a height of 9 meters on a wall, how far is the

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Question: If a 12-meter long ladder reaches a height of 9 meters on a wall, how far is the foot of the ladder from the wall?

Options:

  1. 6 meters
  2. 8 meters
  3. 9 meters
  4. 10 meters

Correct Answer: 6 meters

Solution:

Using Pythagorean theorem, distance = √(12^2 - 9^2) = √(144 - 81) = √63 = 7.94 meters (approximately 8 meters).

If a 12-meter long ladder reaches a height of 9 meters on a wall, how far is the

Practice Questions

Q1
If a 12-meter long ladder reaches a height of 9 meters on a wall, how far is the foot of the ladder from the wall?
  1. 6 meters
  2. 8 meters
  3. 9 meters
  4. 10 meters

Questions & Step-by-Step Solutions

If a 12-meter long ladder reaches a height of 9 meters on a wall, how far is the foot of the ladder from the wall?
  • Pythagorean Theorem – The relationship between the lengths of the sides of a right triangle, where the square of the hypotenuse is equal to the sum of the squares of the other two sides.
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