My Learning Cart
?
Categories
Account

A ladder is leaning against a wall. If the foot of the ladder is 6 feet away fro

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A ladder is leaning against a wall. If the foot of the ladder is 6 feet away from the wall and the top of the ladder reaches a height of 8 feet, what is the length of the ladder?

Options:

  1. 10 feet
  2. 12 feet
  3. 14 feet
  4. 16 feet

Correct Answer: 10 feet

Solution: 

Using the Pythagorean theorem, length of ladder = √(6^2 + 8^2) = √(36 + 64) = √100 = 10 feet.

A ladder is leaning against a wall. If the foot of the ladder is 6 feet away fro

Practice Questions

Q1
A ladder is leaning against a wall. If the foot of the ladder is 6 feet away from the wall and the top of the ladder reaches a height of 8 feet, what is the length of the ladder?
  1. 10 feet
  2. 12 feet
  3. 14 feet
  4. 16 feet

Questions & Step-by-Step Solutions

A ladder is leaning against a wall. If the foot of the ladder is 6 feet away from the wall and the top of the ladder reaches a height of 8 feet, what is the length of the ladder?
  • Step 1: Identify the distances involved. The foot of the ladder is 6 feet away from the wall (this is one side of a right triangle).
  • Step 2: The height the ladder reaches on the wall is 8 feet (this is the other side of the right triangle).
  • Step 3: Recognize that the ladder itself forms the hypotenuse of the right triangle.
  • Step 4: Use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (ladder) is equal to the sum of the squares of the other two sides.
  • Step 5: Write the equation: length of ladder^2 = (distance from wall)^2 + (height on wall)^2.
  • Step 6: Substitute the known values into the equation: length of ladder^2 = 6^2 + 8^2.
  • Step 7: Calculate 6^2, which is 36, and 8^2, which is 64.
  • Step 8: Add these two results together: 36 + 64 = 100.
  • Step 9: Take the square root of 100 to find the length of the ladder: √100 = 10.
  • Step 10: Conclude that the length of the ladder is 10 feet.
  • Pythagorean Theorem – The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks