SOLUTION: The edges of a saw tooth are 1.39mm and 3.26mm long. The base of the tooth is 2.05mm long. At what angles do the edges of the tooth meet?

Algebra ->  Trigonometry-basics -> SOLUTION: The edges of a saw tooth are 1.39mm and 3.26mm long. The base of the tooth is 2.05mm long. At what angles do the edges of the tooth meet?      Log On


   



Question 42273: The edges of a saw tooth are 1.39mm and 3.26mm long. The base of the tooth is 2.05mm long. At what angles do the edges of the tooth meet?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Because of alternate interior angles being equal, the angle at which the teeth meet equals the angle of the top of the teeth...we can find that angle using the law of cosines...
so that
2.05^2 = 1.39^2 + 3.26^2 - 2(1.39)(3.26)cos C
which leads to
C = 22.75 degrees