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12 March, 07:11

A flagpole casts a shadow that is 30 feet long A sign Post near the flagpole is 4 feet tall and cast a shadow that is 6 feet long how tall is the flagpole

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  1. 12 March, 07:38
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    20 ft

    Step-by-step explanation:

    Given;

    Length of flagpole shadow = 30 ft

    Sign post height = 4 ft

    Length of sign post shadow = 6 ft

    Since the two objects are close to each other (the same location)

    The height and shadow length of the two objects follows the same ratio, just like similar triangles;

    Using the Ratio or similar triangles Formula;

    height of flagpole/flagpole shadow length = height of sign post / sign post shadow length

    Substituting the values;

    h/30 = 4/6

    h = 4/6 * 30 = 20 ft

    Flagpole height = 20 ft
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