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The figure below shows a wire (represented by the dashed line) connecting the outer edge of a porch roof to the base of the building’s wall, creating angle of θ degrees at the base of the building. The height of the building is a feet, and the width of the porch roof is b feet.

Which of the following represents the length of wire, in feet?

Explanation

Either the cosine or sine function can relate the length of wire to the angle of q degrees. Applying the cosine function (let x = the length of the wire):cosθ =a/x
xcosθ =a
x=a/cosθ

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