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7 June, 06:20

A tower cast a shadow 11 feet long the distance from the top of the tower to thr end of the shadow is 61 feet how many feet tall is the tower

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  1. 7 June, 08:52
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    We have an rectangle triangle

    Pythagoras therorem:

    hypotenuse²=side₁²+side₂²

    hypotenuse=61 feet

    side₁=11 feet

    side₂=height

    (61 feet) ² = (11 feet) ² + side₂²

    3721 ft²=121 ft² + side₂²

    side₂²=3721 ft²-121 ft²

    side₂²=3600 ft²

    side₂=√ (3600 ft²)

    side₂=60 ft.

    heigth=60 feet
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