aestheticallyonlyyou aestheticallyonlyyou
  • 21-06-2021
  • Mathematics
contestada

A 25 foot ladder is leaning against a tree. If the base of the ladder is 6 feet
away from the base of the tree, how high, to the nearest tenth, does the
ladder reach up the tree?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 29-06-2021

9514 1404 393

Answer:

  24.3 ft

Step-by-step explanation:

If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...

  h² +6² = 25²

  h² = 625 -36 = 589

  h = √589 ≈ 24.3

The ladder reaches about 24.3 feet up the tree.

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