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A 32-foot ladder leans against a building. The distance between the bottom of the ladder and the base of the building is
8.5 feet. What is the height, in feet, from the ground to the place on the building that the ladder touches? Round your
answer to the nearest tenth.

Sagot :

Answer:14

Step-by-step explanation:

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The height at which the ladder touches the building is required.

The height of building where the ladder touches the building is 30.9 feet.

Pythagoras theorem

a = Required height

b = Distance between the bottom of the ladder and the base of the building = 8.5 feet

c = Length of ladder = 32 feet

From the Pythagoras theorem we have

[tex]a^2+b^2=c^2\\\Rightarrow a=\sqrt{c^2-b^2}\\\Rightarrow a=\sqrt{32^2-8.5^2}\\\Rightarrow a=30.9\ \text{feet}[/tex]

Learn more about Pythagoras theorem:

https://brainly.com/question/343682

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