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20 December, 07:32

Louie is trying to find a rectangular canvas for his art project. Its height must measure 18 inches and form a 48° angle with the diagonal at the top of the canvas. What is the length of the diagonal of the canvas? Round your answer to the nearest inch.

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  1. 20 December, 11:27
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    27 inches

    Step-by-step explanation:

    To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

    The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

    cos (48) = height / diagonal

    0.6691 = 18 / diagonal

    diagonal = 18 / 0.6691 = 26.9 inches

    Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
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