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A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. Draw diagram that represents this situation. How far up from the ground is the bottom edge of the window?

Respuesta :

grandmateeth

Answer:

8 ft

Step-by-step explanation:

Use pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]. Put 10 and 6 into the equation as b and c.

[tex]a^{2}+6^{2}=10^{2}[/tex]

[tex]a^{2} =100-36\\a^{2}=64\\a=8[/tex]

Therefore, the answer is 8ft.

A diagram is attached. Sorry it's kinda messy.

Ver imagen grandmateeth

Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The height of the window from the ground or the base of the building is 8 feet.

What is Pythagoras theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the length of the ladder is 10 feet, while the distance between the base of the ladder and the building is 6 feet. Therefore, the height of the window from the base is,

(Length of the ladder)² = (Length between the two)² + (Height)²

(10 feet)² = (6 feet)² + (Height)²

(Height)² = 100 - 36

Height = 8 feet

hence, the height of the window from the ground or the base of the building is 8 feet.

Learn more about Pythagoras' Theorem:

https://brainly.com/question/14461977

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Ver imagen ap8997154

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