Pre-Algebra

Q: 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.

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asked by DArko
  1. since the sides are in the ratio 1:√3:2
    a,b) the sides are 41:41√3:82
    c) as we all know (or should, because the come up repeatedly):
    sin 30° = 1/2
    cos 30° = √3/2
    tan 30° = √3

    And since the co-functions are the functions of the complementary angle, we automatically get

    sin 60° = √3/2
    cos 60° = 1/2
    tan 60° = √3

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    posted by Steve
  2. oops: tan 30° = 1/√3

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    posted by Steve

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