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2 October, 11:26

A 12 ft ladder is leaning against a building. The ladder makes a 45 degree angle with the building how far up is the building does the ladder reach

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  1. 2 October, 11:41
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    The ladder reach a height 8.485 ft.

    Step-by-step explanation:

    The ladder with the building made right angle triangle

    The length of the ladder is the hypotenuse 12 ft.

    The angle between the ladder and the building is 45°

    The height of the ladder reach is the vertical side of the Δ

    ∴ h = 12 cos 45° = 6√2 = 8.485 ft.
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