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If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Help please ​


Sagot :

The distance from the bottom of the ladder be from the bottom of the building is 13.3feet

Application of pythagoras theorem

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

Given the following

Hypotenuse = 24 feet
Opposite side = height = 20ft

Required

Base of the ladder

Use the theorem

24^2 = 20^2 + b^2

b^2 =  576 - 400
b^2 = 176
b = 13.3feet

Hence the distance from the bottom of the ladder be from the bottom of the building is 13.3feet

Learn more on pythagoras theorem here: https://brainly.com/question/343682

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