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20 January, 17:06

A 13-foot ladder leans against a house. the bottom of the ladder is 5 feet from the house. to the nearest degree, what angle does the ladder make with the ground? enter your answer in the box.

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  1. 20 January, 17:22
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    The angle is 67°.

    The two sides of the triangle given are the side adjacent to the angle (the distance from the house) and the hypotenuse (the length of the ladder).

    adjacent/hypotenuse is the ratio for cosine:

    cos x = (5/13)

    To solve this, we will take the inverse cosine:

    x = cos⁻¹ (5/13) = 67
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