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Question:

        Which of the following is the best approximation for leg x in the triangle below? Note that the cos50° is
        .574, the sin50° is .766, and the tan50° is 1.19.






















                   A      4 ft.

                   B      5.7 ft.


                   C      7.9 ft.

                   D      12.2 ft.



          Answer

        Choice A is the correct answer. We’re given an angle measure and the hypotenuse. We want to find the
        length of the side adjacent to the given angle, so we need a trig formula that relates the measure of an
        angle to the adjacent side and to the hypotenuse. The cosine function does that.














        The value of x is about 4 ft.
        If you answered B, you may have used the sine function instead of the cosine function.

        Review


                 •     The perimeter of a triangle is the sum of the lengths of the sides of the triangle.


                 •     The area of a triangle is given by the formula           , where b is the base and h is the
                 height, and the base and height are perpendicular.
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