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A ladder is leaning against a building so that the top of the ladder is touching the roof line. the bottom of the ladder is 7 feet from the building and the ladder is 25 feet long. how far is the roof line from the ground?

Sagot :

Using the Pythagorean theorem, we know that the roof of the building is 24 ft far from the ground.

What is the Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

So, the Pythagorean theorem formula:

c² = a² + b²

Now, substitute the values in the formula to calculate the distance between the roofline and the ground.

c² = a² + b²

25² = a² + 7²

625 = a² + 49

a² = 625 - 49

a² = 576

a = √576

a = 24ft

Therefore, using the Pythagorean theorem, we know that the roof of the building is 24 ft far from the ground.

Know more about the Pythagorean theorem here:

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