SOLUTION: Please help with this word problem: To measure the distance through a mountain for a proposed tunnel, if AC = 3800m , BC = 2900m, and The angleC = 110 degrees, find the length of t

Algebra ->  Trigonometry-basics -> SOLUTION: Please help with this word problem: To measure the distance through a mountain for a proposed tunnel, if AC = 3800m , BC = 2900m, and The angleC = 110 degrees, find the length of t      Log On


   

Question 870547: Please help with this word problem: To measure the distance through a mountain for a proposed tunnel, if AC = 3800m , BC = 2900m, and The angleC = 110 degrees, find the length of the tunnel.
Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
Here, you want to use the law of cosines.
c=sqrt%28a%5E2%2Bb%5E2-2ab%2Acos%28C%29%29
AB=sqrt%282900%5E2%2B3800%5E2-2%2A2900%2A3800%2Acos%28110%29%29
Use a calculator.

AB is about 6698.3893