Respuesta :

a² + b² = c²

a² + 7² = 25²

a² = 25² - 7²

a² = 576

a = 24

Answer: The height is 24 feet.
Lanuel

The height formed by this 25 foot ladder that leans against a wall is 24 feet.

Given the following data:

  • Length of ladder (hypotenuse) = 25 foot.
  • Adjacent = 7 feet.

What is Pythagorean Theorem?

Pythagorean theorem can be defined as a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right-angled triangle.

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]h^2 = a^2 + b^2[/tex]

Where:

  • h is the hypotenuse.
  • a is the adjacent side.
  • b is the opposite side.

Substituting the given parameters into the formula, we have;

[tex]h^2 = a^2 + b^2\\\\25^2 = 7^2 +b^2\\\\625=49+b^2\\\\b^2=625-49\\\\b=\sqrt{576}[/tex]

b = 24 feet.

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867

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