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3 August, 02:49

A video game designer is modeling a tower that is 320 ft high and 260ft wide. She creates a model so that the similarity ratio of the model to the tower is 1/500. What is the height and width if the model in inches

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  1. 3 August, 03:56
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    H = Tower Height = 320

    W = Tower Width = 260

    h = Model Height

    w = Model Width

    h = (1/500) * H = (1/500) * 320 =.64 feet

    w = (1/500) * W = (1/500) * 260 =.52 feet

    Now, we need to convert these measurements to inches.

    There are 12 inches per foot.

    Let x = height in inches and y = width in inches

    The ratio below compares feet to inches

    x / h = 12 in / 1 ft

    y / w = 12 in / 1 ft

    Plug in h and w, cross multiply, and solve for x and y, respectively.

    x /.64 = 12 / 1

    1 * x =.64 * 12

    x = 7.68 in

    y /.52 = 12 in / 1 ft

    1 * y =.52 * 12

    y = 6.24 in
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