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a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

2 Answers

5 votes

a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

Answer: 1 foot

User SternK
by
5.0k points
5 votes

Answer:

5 ft

Explanation:

Ladder top, the wall and the horizontal distance will form a right triangle with:

  • Hypotenuse = 13 ft
  • Vertical leg = 12 ft
  • Horizontal leg = x

As per Pythagorean theorem:

  • x² + 12² = 13²
  • x² = 169 - 144
  • x² = 25
  • x =√25
  • x = 5 ft

User Kammi
by
4.6k points
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