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11 April, 07:34

A 10-foot ladder leans against a wall with its foot braced 3 feet from wallÍs base. How far up the wall does the ladder reach?

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  1. 11 April, 08:40
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    The answer is √91 feet (which is the same as 9.54 feet).

    Imagine this as a right triangle. A length of the foot is actually a hypotenuse (c). The distance from wall's base to the ladder foot is one of the sides of the triangle (let it be a).

    So, using the Pythagorean theorem:

    c² = a² + b²

    It is given:

    c = 10 feet

    a = 3 feet

    b = ?

    c² = a² + b²

    ⇒ 10² = 3² + b²

    100 = 9 + b²

    b² = 100 - 9 = 91

    ⇒ b = √b² = √91 ≈ 9.54 feet
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