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  • 19-12-2019
  • Mathematics
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A ladder is leaning against a garage. If the ladder is 25ft long. How high up the garage will it reach if it is placed 4ft from the bottom of the garage

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calculista
calculista calculista
  • 31-12-2019

Answer:

[tex]24.68\ ft[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x ----> ladder height in ft

Applying the Pythagorean Theorem

[tex]25^2=4^2+x^2[/tex]

solve for x

[tex]625=16+x^2[/tex]

[tex]x^2=625-16[/tex]

[tex]x^2=609[/tex]

[tex]x=\sqrt{609}\ ft[/tex]

[tex]x=24.68\ ft[/tex]

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