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A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet.

a. Find the length of the side of the lot opposite the 60° angle.

b.Find the length of the hypotenuse of the triangular lot.

c. Find the sine, cosine, and tangent of the 30° angle in the lot. Write your answers as decimals rounded to four decimal places.

  • prealgebra -

    you know that for such a triangle, the sides are in the ratio


    So, the short side is 41
    The long side is 41√3
    The hypotenuse is 41*2

    The functions of 30° are standard values, which it would be well to learn.

  • prealgebra -

    a.71 ft

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