A 25 ft ladder is leaning against a tree. The bottom of the ladder is 7 feet away from the bottom of the tree. How high up the tree does the

Question

A 25 ft ladder is leaning against a tree. The bottom of the ladder is 7 feet away from the bottom of the tree. How high up the tree does the top of the ladder reach

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Faith 1 week 2021-10-08T11:27:17+00:00 1 Answer 0

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    2021-10-08T11:29:14+00:00

    Answer:

    the height of the tree to the top of the ladder is 24ft

    Step-by-step explanation:

    To solve this we need to know the Pythagorean theorem that is used for triangles with a right angle

    h = hypotenuse

    c1 = leg one

    c2 = leg two

    h ^2 = l1^2 + l2^2

    the 25ft of the stairs represent the hypotenuse and the 7ft one of the 2 legs

    then we just have to clear the missing leg and solve

    h ^2 = l1^2 + l2^2

    c2^2 = h ^2 –  c1^2

    c2 = √(h ^2 –  c1^2)

    c2 = √(25^2 – 7^2)

    c2 = √ (625 – 49)

    c2 = √576

    c2 = 24ft

    then the height of the tree to the top of the ladder is 24ft

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