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Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?

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Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,


(hypotenuse)^2=(perpendicular)^2+(base)^2

i.e.


(17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=√(273)\approx16.52

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder-example-1
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