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30 December, 16:18

A 12-foot tall house casts a shadow that is 9 feet long. At the same time, a nearby flag pole casts a shadow that is 15 feet long. How tall is the flag pole to the nearest foot?

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Answers (2)
  1. 30 December, 16:20
    0
    Step-by-step explanation:

    From the question above, we are told to find the height of a pole that is next to a house 12 feet tall and casts a shadow that is 9 feet long and the shadow that was casted by the pole is also 15 feet long.

    Let's assume that the height of the pole to be x

    12/x = 9/15

    Cross multiply the above so that we can have the value of x (x is the height of the pole)

    X = 12 * 15 : 9

    X = 180/9

    X = 20

    X, which is the height of the pole, is 20 feet long
  2. 30 December, 16:35
    0
    The answer is 20ft

    Step-by-step explanation:

    Since they both cast shadows at the same time, the ratios of their height to their respective shadow length will be the same.

    Hence; we'll equate both ratios to find the length.

    House = 12/9

    Flag pole = h/15

    Equating both:

    12/9 = h/15

    h x 9 = 12 x 15

    h = 180/9

    h = 20ft
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