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19 December, 16:45

A beam rests against a wall, forming a 65 degree with the floor. Use the function y=9sec theta to find the length of the beam to the nearest tenth of a foot. A. 8.2 ft B. 21.3 ft C. 9.9 ft D. 18.7 f

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  1. 19 December, 16:54
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    This is the concept of trigonometry;

    We are required to use the function y=9sec theta to solve the question.

    Given the y=9sec theta,

    where;

    y=distance

    theta=angle=65

    the length of the beam will be calculated as follows;

    From the trigonometric rules;

    sec theta=1/cos theta

    therefore our function can be written as:

    y=9/cos theta

    y=9 / (cos 65)

    y=9/0.4226

    y=21.2958

    y=21.3 ft (1 d. p)

    therefore our answer is B. 21.3 ft
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