Respuesta :

As calculated with the help of Pythagorean theorem, The ladder will reach 19.36 feet high on the building.

What is Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental Euclidean geometry relationship between the three sides of a right triangle. The square whose side is the hypotenuse, or the side across from the right angle, has an area equal to the sum of the areas of the squares on its other two sides. The Pythagorean equation, which connects the lengths of the sides B, P, and the hypotenuse H, can be used to express this theorem.

H² = B² + P²

As given in the question,

the length of the ladder is 20 ft. which will work as a hypotenuse of a right angled triangle,

The base is 5 ft.

we need to find the perpendicular line to the base.

Applying Pythagorean theorem.

H² = B² + P²

20² = 5² + P²

400 = 25 + P²

400 - 25 = P²

P = 19.36 ft.

Therefore, the ladder will go 19.36 ft. high on the building.

To know more about Pythagorean theorem, go to link

https://brainly.com/question/343682

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