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30 September, 07:54

If a tower casts a shadow 11 feet long the distance from the top of the tower to the end of the shadow is 61 feet ... How many feet tall is the tower 1

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  1. 30 September, 11:09
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    Pythagorean theorem

    the shadow legnth=bottom leg

    legnth from top of tower to end of shadow=hypotounuse

    height of tower=vertical leg

    a^2+b^2=c^2

    a and b are legs

    c=hypotonuse

    11^2+b^2=61^2

    121+b^2=3721

    minus 121 both sides

    b^2=3600

    sqrt both sides

    b=60

    height of toer is 60 feet
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